-4(t-4)=-2(t+3)+24

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Solution for -4(t-4)=-2(t+3)+24 equation:


Simplifying
-4(t + -4) = -2(t + 3) + 24

Reorder the terms:
-4(-4 + t) = -2(t + 3) + 24
(-4 * -4 + t * -4) = -2(t + 3) + 24
(16 + -4t) = -2(t + 3) + 24

Reorder the terms:
16 + -4t = -2(3 + t) + 24
16 + -4t = (3 * -2 + t * -2) + 24
16 + -4t = (-6 + -2t) + 24

Reorder the terms:
16 + -4t = -6 + 24 + -2t

Combine like terms: -6 + 24 = 18
16 + -4t = 18 + -2t

Solving
16 + -4t = 18 + -2t

Solving for variable 't'.

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

Add '2t' to each side of the equation.
16 + -4t + 2t = 18 + -2t + 2t

Combine like terms: -4t + 2t = -2t
16 + -2t = 18 + -2t + 2t

Combine like terms: -2t + 2t = 0
16 + -2t = 18 + 0
16 + -2t = 18

Add '-16' to each side of the equation.
16 + -16 + -2t = 18 + -16

Combine like terms: 16 + -16 = 0
0 + -2t = 18 + -16
-2t = 18 + -16

Combine like terms: 18 + -16 = 2
-2t = 2

Divide each side by '-2'.
t = -1

Simplifying
t = -1

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