-3(t+5)+4(t+2)=8

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Solution for -3(t+5)+4(t+2)=8 equation:


Simplifying
-3(t + 5) + 4(t + 2) = 8

Reorder the terms:
-3(5 + t) + 4(t + 2) = 8
(5 * -3 + t * -3) + 4(t + 2) = 8
(-15 + -3t) + 4(t + 2) = 8

Reorder the terms:
-15 + -3t + 4(2 + t) = 8
-15 + -3t + (2 * 4 + t * 4) = 8
-15 + -3t + (8 + 4t) = 8

Reorder the terms:
-15 + 8 + -3t + 4t = 8

Combine like terms: -15 + 8 = -7
-7 + -3t + 4t = 8

Combine like terms: -3t + 4t = 1t
-7 + 1t = 8

Solving
-7 + 1t = 8

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + 1t = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 1t = 8 + 7
1t = 8 + 7

Combine like terms: 8 + 7 = 15
1t = 15

Divide each side by '1'.
t = 15

Simplifying
t = 15

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