17(t+1)=4(t-11)-30

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Solution for 17(t+1)=4(t-11)-30 equation: 


Simplifying
17(t + 1) = 4(t + -11) + -30

Reorder the terms:
17(1 + t) = 4(t + -11) + -30
(1 * 17 + t * 17) = 4(t + -11) + -30
(17 + 17t) = 4(t + -11) + -30

Reorder the terms:
17 + 17t = 4(-11 + t) + -30
17 + 17t = (-11 * 4 + t * 4) + -30
17 + 17t = (-44 + 4t) + -30

Reorder the terms:
17 + 17t = -44 + -30 + 4t

Combine like terms: -44 + -30 = -74
17 + 17t = -74 + 4t

Solving
17 + 17t = -74 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
17 + 17t + -4t = -74 + 4t + -4t

Combine like terms: 17t + -4t = 13t
17 + 13t = -74 + 4t + -4t

Combine like terms: 4t + -4t = 0
17 + 13t = -74 + 0
17 + 13t = -74

Add '-17' to each side of the equation.
17 + -17 + 13t = -74 + -17

Combine like terms: 17 + -17 = 0
0 + 13t = -74 + -17
13t = -74 + -17

Combine like terms: -74 + -17 = -91
13t = -91

Divide each side by '13'.
t = -7

Simplifying
t = -7

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