-4(t-2)+7t=6t-5

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Solution for -4(t-2)+7t=6t-5 equation:


Simplifying
-4(t + -2) + 7t = 6t + -5

Reorder the terms:
-4(-2 + t) + 7t = 6t + -5
(-2 * -4 + t * -4) + 7t = 6t + -5
(8 + -4t) + 7t = 6t + -5

Combine like terms: -4t + 7t = 3t
8 + 3t = 6t + -5

Reorder the terms:
8 + 3t = -5 + 6t

Solving
8 + 3t = -5 + 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.
8 + 3t + -6t = -5 + 6t + -6t

Combine like terms: 3t + -6t = -3t
8 + -3t = -5 + 6t + -6t

Combine like terms: 6t + -6t = 0
8 + -3t = -5 + 0
8 + -3t = -5

Add '-8' to each side of the equation.
8 + -8 + -3t = -5 + -8

Combine like terms: 8 + -8 = 0
0 + -3t = -5 + -8
-3t = -5 + -8

Combine like terms: -5 + -8 = -13
-3t = -13

Divide each side by '-3'.
t = 4.333333333

Simplifying
t = 4.333333333

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