-4(t-4)+8t=7t-2

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Solution for -4(t-4)+8t=7t-2 equation: 


Simplifying
-4(t + -4) + 8t = 7t + -2

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

Combine like terms: -4t + 8t = 4t
16 + 4t = 7t + -2

Reorder the terms:
16 + 4t = -2 + 7t

Solving
16 + 4t = -2 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
16 + 4t + -7t = -2 + 7t + -7t

Combine like terms: 4t + -7t = -3t
16 + -3t = -2 + 7t + -7t

Combine like terms: 7t + -7t = 0
16 + -3t = -2 + 0
16 + -3t = -2

Add '-16' to each side of the equation.
16 + -16 + -3t = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -3t = -2 + -16
-3t = -2 + -16

Combine like terms: -2 + -16 = -18
-3t = -18

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

Simplifying
t = 6

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