-2(t-1)+5t=9t-7

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Solution for -2(t-1)+5t=9t-7 equation: 


Simplifying
-2(t + -1) + 5t = 9t + -7

Reorder the terms:
-2(-1 + t) + 5t = 9t + -7
(-1 * -2 + t * -2) + 5t = 9t + -7
(2 + -2t) + 5t = 9t + -7

Combine like terms: -2t + 5t = 3t
2 + 3t = 9t + -7

Reorder the terms:
2 + 3t = -7 + 9t

Solving
2 + 3t = -7 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
2 + 3t + -9t = -7 + 9t + -9t

Combine like terms: 3t + -9t = -6t
2 + -6t = -7 + 9t + -9t

Combine like terms: 9t + -9t = 0
2 + -6t = -7 + 0
2 + -6t = -7

Add '-2' to each side of the equation.
2 + -2 + -6t = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -6t = -7 + -2
-6t = -7 + -2

Combine like terms: -7 + -2 = -9
-6t = -9

Divide each side by '-6'.
t = 1.5

Simplifying
t = 1.5

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