-4(t-7)-(t+2)=11

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Solution for -4(t-7)-(t+2)=11 equation: 


Simplifying
-4(t + -7) + -1(t + 2) = 11

Reorder the terms:
-4(-7 + t) + -1(t + 2) = 11
(-7 * -4 + t * -4) + -1(t + 2) = 11
(28 + -4t) + -1(t + 2) = 11

Reorder the terms:
28 + -4t + -1(2 + t) = 11
28 + -4t + (2 * -1 + t * -1) = 11
28 + -4t + (-2 + -1t) = 11

Reorder the terms:
28 + -2 + -4t + -1t = 11

Combine like terms: 28 + -2 = 26
26 + -4t + -1t = 11

Combine like terms: -4t + -1t = -5t
26 + -5t = 11

Solving
26 + -5t = 11

Solving for variable 't'.

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

Add '-26' to each side of the equation.
26 + -26 + -5t = 11 + -26

Combine like terms: 26 + -26 = 0
0 + -5t = 11 + -26
-5t = 11 + -26

Combine like terms: 11 + -26 = -15
-5t = -15

Divide each side by '-5'.
t = 3

Simplifying
t = 3

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