-2(t-5)+4t=6t-9

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Solution for -2(t-5)+4t=6t-9 equation:


Simplifying
-2(t + -5) + 4t = 6t + -9

Reorder the terms:
-2(-5 + t) + 4t = 6t + -9
(-5 * -2 + t * -2) + 4t = 6t + -9
(10 + -2t) + 4t = 6t + -9

Combine like terms: -2t + 4t = 2t
10 + 2t = 6t + -9

Reorder the terms:
10 + 2t = -9 + 6t

Solving
10 + 2t = -9 + 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.
10 + 2t + -6t = -9 + 6t + -6t

Combine like terms: 2t + -6t = -4t
10 + -4t = -9 + 6t + -6t

Combine like terms: 6t + -6t = 0
10 + -4t = -9 + 0
10 + -4t = -9

Add '-10' to each side of the equation.
10 + -10 + -4t = -9 + -10

Combine like terms: 10 + -10 = 0
0 + -4t = -9 + -10
-4t = -9 + -10

Combine like terms: -9 + -10 = -19
-4t = -19

Divide each side by '-4'.
t = 4.75

Simplifying
t = 4.75

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