-7(t-7)-2(2t+1)=-8

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Solution for -7(t-7)-2(2t+1)=-8 equation: 


Simplifying
-7(t + -7) + -2(2t + 1) = -8

Reorder the terms:
-7(-7 + t) + -2(2t + 1) = -8
(-7 * -7 + t * -7) + -2(2t + 1) = -8
(49 + -7t) + -2(2t + 1) = -8

Reorder the terms:
49 + -7t + -2(1 + 2t) = -8
49 + -7t + (1 * -2 + 2t * -2) = -8
49 + -7t + (-2 + -4t) = -8

Reorder the terms:
49 + -2 + -7t + -4t = -8

Combine like terms: 49 + -2 = 47
47 + -7t + -4t = -8

Combine like terms: -7t + -4t = -11t
47 + -11t = -8

Solving
47 + -11t = -8

Solving for variable 't'.

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

Add '-47' to each side of the equation.
47 + -47 + -11t = -8 + -47

Combine like terms: 47 + -47 = 0
0 + -11t = -8 + -47
-11t = -8 + -47

Combine like terms: -8 + -47 = -55
-11t = -55

Divide each side by '-11'.
t = 5

Simplifying
t = 5

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