57=3(-10t-3)+6t

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Solution for 57=3(-10t-3)+6t equation:


Simplifying
57 = 3(-10t + -3) + 6t

Reorder the terms:
57 = 3(-3 + -10t) + 6t
57 = (-3 * 3 + -10t * 3) + 6t
57 = (-9 + -30t) + 6t

Combine like terms: -30t + 6t = -24t
57 = -9 + -24t

Solving
57 = -9 + -24t

Solving for variable 't'.

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

Add '24t' to each side of the equation.
57 + 24t = -9 + -24t + 24t

Combine like terms: -24t + 24t = 0
57 + 24t = -9 + 0
57 + 24t = -9

Add '-57' to each side of the equation.
57 + -57 + 24t = -9 + -57

Combine like terms: 57 + -57 = 0
0 + 24t = -9 + -57
24t = -9 + -57

Combine like terms: -9 + -57 = -66
24t = -66

Divide each side by '24'.
t = -2.75

Simplifying
t = -2.75

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