7(t+2)+2(-2t-6)=2(t-4)-6

Solution for 7(t+2)+2(-2t-6)=2(t-4)-6 equation:

Simplifying
7(t + 2) + 2(-2t + -6) = 2(t + -4) + -6

Reorder the terms:
7(2 + t) + 2(-2t + -6) = 2(t + -4) + -6
(2 * 7 + t * 7) + 2(-2t + -6) = 2(t + -4) + -6
(14 + 7t) + 2(-2t + -6) = 2(t + -4) + -6

Reorder the terms:
14 + 7t + 2(-6 + -2t) = 2(t + -4) + -6
14 + 7t + (-6 * 2 + -2t * 2) = 2(t + -4) + -6
14 + 7t + (-12 + -4t) = 2(t + -4) + -6

Reorder the terms:
14 + -12 + 7t + -4t = 2(t + -4) + -6

Combine like terms: 14 + -12 = 2
2 + 7t + -4t = 2(t + -4) + -6

Combine like terms: 7t + -4t = 3t
2 + 3t = 2(t + -4) + -6

Reorder the terms:
2 + 3t = 2(-4 + t) + -6
2 + 3t = (-4 * 2 + t * 2) + -6
2 + 3t = (-8 + 2t) + -6

Reorder the terms:
2 + 3t = -8 + -6 + 2t

Combine like terms: -8 + -6 = -14
2 + 3t = -14 + 2t

Solving
2 + 3t = -14 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
2 + 3t + -2t = -14 + 2t + -2t

Combine like terms: 3t + -2t = 1t
2 + 1t = -14 + 2t + -2t

Combine like terms: 2t + -2t = 0
2 + 1t = -14 + 0
2 + 1t = -14

Add '-2' to each side of the equation.
2 + -2 + 1t = -14 + -2

Combine like terms: 2 + -2 = 0
0 + 1t = -14 + -2
1t = -14 + -2

Combine like terms: -14 + -2 = -16
1t = -16

Divide each side by '1'.
t = -16

Simplifying
t = -16