-3(t-4)+7t=6t-7

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Solution for -3(t-4)+7t=6t-7 equation:


Simplifying
-3(t + -4) + 7t = 6t + -7

Reorder the terms:
-3(-4 + t) + 7t = 6t + -7
(-4 * -3 + t * -3) + 7t = 6t + -7
(12 + -3t) + 7t = 6t + -7

Combine like terms: -3t + 7t = 4t
12 + 4t = 6t + -7

Reorder the terms:
12 + 4t = -7 + 6t

Solving
12 + 4t = -7 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
12 + 4t + -6t = -7 + 6t + -6t

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

Combine like terms: 6t + -6t = 0
12 + -2t = -7 + 0
12 + -2t = -7

Add '-12' to each side of the equation.
12 + -12 + -2t = -7 + -12

Combine like terms: 12 + -12 = 0
0 + -2t = -7 + -12
-2t = -7 + -12

Combine like terms: -7 + -12 = -19
-2t = -19

Divide each side by '-2'.
t = 9.5

Simplifying
t = 9.5

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