-4(t-7)-(t+1)=7

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Solution for -4(t-7)-(t+1)=7 equation: 


Simplifying
-4(t + -7) + -1(t + 1) = 7

Reorder the terms:
-4(-7 + t) + -1(t + 1) = 7
(-7 * -4 + t * -4) + -1(t + 1) = 7
(28 + -4t) + -1(t + 1) = 7

Reorder the terms:
28 + -4t + -1(1 + t) = 7
28 + -4t + (1 * -1 + t * -1) = 7
28 + -4t + (-1 + -1t) = 7

Reorder the terms:
28 + -1 + -4t + -1t = 7

Combine like terms: 28 + -1 = 27
27 + -4t + -1t = 7

Combine like terms: -4t + -1t = -5t
27 + -5t = 7

Solving
27 + -5t = 7

Solving for variable 't'.

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

Add '-27' to each side of the equation.
27 + -27 + -5t = 7 + -27

Combine like terms: 27 + -27 = 0
0 + -5t = 7 + -27
-5t = 7 + -27

Combine like terms: 7 + -27 = -20
-5t = -20

Divide each side by '-5'.
t = 4

Simplifying
t = 4

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