-2(t-2)+6t=9t-7

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Solution for -2(t-2)+6t=9t-7 equation:


Simplifying
-2(t + -2) + 6t = 9t + -7

Reorder the terms:
-2(-2 + t) + 6t = 9t + -7
(-2 * -2 + t * -2) + 6t = 9t + -7
(4 + -2t) + 6t = 9t + -7

Combine like terms: -2t + 6t = 4t
4 + 4t = 9t + -7

Reorder the terms:
4 + 4t = -7 + 9t

Solving
4 + 4t = -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.
4 + 4t + -9t = -7 + 9t + -9t

Combine like terms: 4t + -9t = -5t
4 + -5t = -7 + 9t + -9t

Combine like terms: 9t + -9t = 0
4 + -5t = -7 + 0
4 + -5t = -7

Add '-4' to each side of the equation.
4 + -4 + -5t = -7 + -4

Combine like terms: 4 + -4 = 0
0 + -5t = -7 + -4
-5t = -7 + -4

Combine like terms: -7 + -4 = -11
-5t = -11

Divide each side by '-5'.
t = 2.2

Simplifying
t = 2.2

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