-5(t-3)+9t=6t-4

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Solution for -5(t-3)+9t=6t-4 equation:


Simplifying
-5(t + -3) + 9t = 6t + -4

Reorder the terms:
-5(-3 + t) + 9t = 6t + -4
(-3 * -5 + t * -5) + 9t = 6t + -4
(15 + -5t) + 9t = 6t + -4

Combine like terms: -5t + 9t = 4t
15 + 4t = 6t + -4

Reorder the terms:
15 + 4t = -4 + 6t

Solving
15 + 4t = -4 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
15 + 4t + -6t = -4 + 6t + -6t

Combine like terms: 4t + -6t = -2t
15 + -2t = -4 + 6t + -6t

Combine like terms: 6t + -6t = 0
15 + -2t = -4 + 0
15 + -2t = -4

Add '-15' to each side of the equation.
15 + -15 + -2t = -4 + -15

Combine like terms: 15 + -15 = 0
0 + -2t = -4 + -15
-2t = -4 + -15

Combine like terms: -4 + -15 = -19
-2t = -19

Divide each side by '-2'.
t = 9.5

Simplifying
t = 9.5

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