-7(t+9)-7(2t+5)=-22(t+5)-9

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Solution for -7(t+9)-7(2t+5)=-22(t+5)-9 equation: 


Simplifying
-7(t + 9) + -7(2t + 5) = -22(t + 5) + -9

Reorder the terms:
-7(9 + t) + -7(2t + 5) = -22(t + 5) + -9
(9 * -7 + t * -7) + -7(2t + 5) = -22(t + 5) + -9
(-63 + -7t) + -7(2t + 5) = -22(t + 5) + -9

Reorder the terms:
-63 + -7t + -7(5 + 2t) = -22(t + 5) + -9
-63 + -7t + (5 * -7 + 2t * -7) = -22(t + 5) + -9
-63 + -7t + (-35 + -14t) = -22(t + 5) + -9

Reorder the terms:
-63 + -35 + -7t + -14t = -22(t + 5) + -9

Combine like terms: -63 + -35 = -98
-98 + -7t + -14t = -22(t + 5) + -9

Combine like terms: -7t + -14t = -21t
-98 + -21t = -22(t + 5) + -9

Reorder the terms:
-98 + -21t = -22(5 + t) + -9
-98 + -21t = (5 * -22 + t * -22) + -9
-98 + -21t = (-110 + -22t) + -9

Reorder the terms:
-98 + -21t = -110 + -9 + -22t

Combine like terms: -110 + -9 = -119
-98 + -21t = -119 + -22t

Solving
-98 + -21t = -119 + -22t

Solving for variable 't'.

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

Add '22t' to each side of the equation.
-98 + -21t + 22t = -119 + -22t + 22t

Combine like terms: -21t + 22t = 1t
-98 + 1t = -119 + -22t + 22t

Combine like terms: -22t + 22t = 0
-98 + 1t = -119 + 0
-98 + 1t = -119

Add '98' to each side of the equation.
-98 + 98 + 1t = -119 + 98

Combine like terms: -98 + 98 = 0
0 + 1t = -119 + 98
1t = -119 + 98

Combine like terms: -119 + 98 = -21
1t = -21

Divide each side by '1'.
t = -21

Simplifying
t = -21

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