Answer:
t=10
Step-by-step explanation:
3*(t+4)-2*(2*t+3)-(-4)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((3 • (t + 4)) - 2 • (2t + 3)) - -4 = 0
Step 2 :
Equation at the end of step 2 :
(3 • (t + 4) - 2 • (2t + 3)) - -4 = 0
Step 3 :
Equation at the end of step 3 :
10 - t = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : -t+10 = 0
Subtract 10 from both sides of the equation :
-t = -10
Multiply both sides of the equation by (-1) : t = 10
Answer: t = 10
Step-by-step explanation:
Reorder the terms:
12 + 3t + -2(3 + 2t) = -4
12 + 3t + (3 * -2 + 2t * -2) = -4
12 + 3t + (-6 + -4t) = -4
Reorder the terms:
12 + -6 + 3t + -4t = -4
Combine like terms: 12 + -6 = 6
6 + 3t + -4t = -4
Combine like terms: 3t + -4t = -1t
6 + -1t = -4
Solving
6 + -1t = -4
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + -1t = -4 + -6
Combine like terms: 6 + -6 = 0
0 + -1t = -4 + -6
-1t = -4 + -6
Combine like terms: -4 + -6 = -10
-1t = -10
Divide each side by '-1'.
t = 10
Simplifying
t = 10
