-2(t-2)-6(3t+3)=-21(t+1)-7

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Solution for -2(t-2)-6(3t+3)=-21(t+1)-7 equation:


Simplifying
-2(t + -2) + -6(3t + 3) = -21(t + 1) + -7

Reorder the terms:
-2(-2 + t) + -6(3t + 3) = -21(t + 1) + -7
(-2 * -2 + t * -2) + -6(3t + 3) = -21(t + 1) + -7
(4 + -2t) + -6(3t + 3) = -21(t + 1) + -7

Reorder the terms:
4 + -2t + -6(3 + 3t) = -21(t + 1) + -7
4 + -2t + (3 * -6 + 3t * -6) = -21(t + 1) + -7
4 + -2t + (-18 + -18t) = -21(t + 1) + -7

Reorder the terms:
4 + -18 + -2t + -18t = -21(t + 1) + -7

Combine like terms: 4 + -18 = -14
-14 + -2t + -18t = -21(t + 1) + -7

Combine like terms: -2t + -18t = -20t
-14 + -20t = -21(t + 1) + -7

Reorder the terms:
-14 + -20t = -21(1 + t) + -7
-14 + -20t = (1 * -21 + t * -21) + -7
-14 + -20t = (-21 + -21t) + -7

Reorder the terms:
-14 + -20t = -21 + -7 + -21t

Combine like terms: -21 + -7 = -28
-14 + -20t = -28 + -21t

Solving
-14 + -20t = -28 + -21t

Solving for variable 't'.

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

Add '21t' to each side of the equation.
-14 + -20t + 21t = -28 + -21t + 21t

Combine like terms: -20t + 21t = 1t
-14 + 1t = -28 + -21t + 21t

Combine like terms: -21t + 21t = 0
-14 + 1t = -28 + 0
-14 + 1t = -28

Add '14' to each side of the equation.
-14 + 14 + 1t = -28 + 14

Combine like terms: -14 + 14 = 0
0 + 1t = -28 + 14
1t = -28 + 14

Combine like terms: -28 + 14 = -14
1t = -14

Divide each side by '1'.
t = -14

Simplifying
t = -14

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