3(t-5)+4(t+1)=-4

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Solution for 3(t-5)+4(t+1)=-4 equation: 


Simplifying
3(t + -5) + 4(t + 1) = -4

Reorder the terms:
3(-5 + t) + 4(t + 1) = -4
(-5 * 3 + t * 3) + 4(t + 1) = -4
(-15 + 3t) + 4(t + 1) = -4

Reorder the terms:
-15 + 3t + 4(1 + t) = -4
-15 + 3t + (1 * 4 + t * 4) = -4
-15 + 3t + (4 + 4t) = -4

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

Combine like terms: -15 + 4 = -11
-11 + 3t + 4t = -4

Combine like terms: 3t + 4t = 7t
-11 + 7t = -4

Solving
-11 + 7t = -4

Solving for variable 't'.

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

Add '11' to each side of the equation.
-11 + 11 + 7t = -4 + 11

Combine like terms: -11 + 11 = 0
0 + 7t = -4 + 11
7t = -4 + 11

Combine like terms: -4 + 11 = 7
7t = 7

Divide each side by '7'.
t = 1

Simplifying
t = 1

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