-3(t-1)+8(t-3)=6t+7-5t

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Solution for -3(t-1)+8(t-3)=6t+7-5t equation:


Simplifying
-3(t + -1) + 8(t + -3) = 6t + 7 + -5t

Reorder the terms:
-3(-1 + t) + 8(t + -3) = 6t + 7 + -5t
(-1 * -3 + t * -3) + 8(t + -3) = 6t + 7 + -5t
(3 + -3t) + 8(t + -3) = 6t + 7 + -5t

Reorder the terms:
3 + -3t + 8(-3 + t) = 6t + 7 + -5t
3 + -3t + (-3 * 8 + t * 8) = 6t + 7 + -5t
3 + -3t + (-24 + 8t) = 6t + 7 + -5t

Reorder the terms:
3 + -24 + -3t + 8t = 6t + 7 + -5t

Combine like terms: 3 + -24 = -21
-21 + -3t + 8t = 6t + 7 + -5t

Combine like terms: -3t + 8t = 5t
-21 + 5t = 6t + 7 + -5t

Reorder the terms:
-21 + 5t = 7 + 6t + -5t

Combine like terms: 6t + -5t = 1t
-21 + 5t = 7 + 1t

Solving
-21 + 5t = 7 + 1t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-21 + 5t + -1t = 7 + 1t + -1t

Combine like terms: 5t + -1t = 4t
-21 + 4t = 7 + 1t + -1t

Combine like terms: 1t + -1t = 0
-21 + 4t = 7 + 0
-21 + 4t = 7

Add '21' to each side of the equation.
-21 + 21 + 4t = 7 + 21

Combine like terms: -21 + 21 = 0
0 + 4t = 7 + 21
4t = 7 + 21

Combine like terms: 7 + 21 = 28
4t = 28

Divide each side by '4'.
t = 7

Simplifying
t = 7

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