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

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


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

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

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

Reorder the terms:
12 + 3t = -6 + 6t

Solving
12 + 3t = -6 + 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 + 3t + -6t = -6 + 6t + -6t

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

Combine like terms: 6t + -6t = 0
12 + -3t = -6 + 0
12 + -3t = -6

Add '-12' to each side of the equation.
12 + -12 + -3t = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -3t = -6 + -12
-3t = -6 + -12

Combine like terms: -6 + -12 = -18
-3t = -18

Divide each side by '-3'.
t = 6

Simplifying
t = 6

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