10-(t-6)=2(4t-1)-7t

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Solution for 10-(t-6)=2(4t-1)-7t equation: 


Simplifying
10 + -1(t + -6) = 2(4t + -1) + -7t

Reorder the terms:
10 + -1(-6 + t) = 2(4t + -1) + -7t
10 + (-6 * -1 + t * -1) = 2(4t + -1) + -7t
10 + (6 + -1t) = 2(4t + -1) + -7t

Combine like terms: 10 + 6 = 16
16 + -1t = 2(4t + -1) + -7t

Reorder the terms:
16 + -1t = 2(-1 + 4t) + -7t
16 + -1t = (-1 * 2 + 4t * 2) + -7t
16 + -1t = (-2 + 8t) + -7t

Combine like terms: 8t + -7t = 1t
16 + -1t = -2 + 1t

Solving
16 + -1t = -2 + 1t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
16 + -1t + -1t = -2 + 1t + -1t

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

Combine like terms: 1t + -1t = 0
16 + -2t = -2 + 0
16 + -2t = -2

Add '-16' to each side of the equation.
16 + -16 + -2t = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -2t = -2 + -16
-2t = -2 + -16

Combine like terms: -2 + -16 = -18
-2t = -18

Divide each side by '-2'.
t = 9

Simplifying
t = 9

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