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

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


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

Reorder the terms:
-4(-4 + t) + 7t = 6t + -5
(-4 * -4 + t * -4) + 7t = 6t + -5
(16 + -4t) + 7t = 6t + -5

Combine like terms: -4t + 7t = 3t
16 + 3t = 6t + -5

Reorder the terms:
16 + 3t = -5 + 6t

Solving
16 + 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.
16 + 3t + -6t = -5 + 6t + -6t

Combine like terms: 3t + -6t = -3t
16 + -3t = -5 + 6t + -6t

Combine like terms: 6t + -6t = 0
16 + -3t = -5 + 0
16 + -3t = -5

Add '-16' to each side of the equation.
16 + -16 + -3t = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -3t = -5 + -16
-3t = -5 + -16

Combine like terms: -5 + -16 = -21
-3t = -21

Divide each side by '-3'.
t = 7

Simplifying
t = 7

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