0.6(t+32)=-3(4-t)

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Solution for 0.6(t+32)=-3(4-t) equation: 


Simplifying
0.6(t + 32) = -3(4 + -1t)

Reorder the terms:
0.6(32 + t) = -3(4 + -1t)
(32 * 0.6 + t * 0.6) = -3(4 + -1t)
(19.2 + 0.6t) = -3(4 + -1t)
19.2 + 0.6t = (4 * -3 + -1t * -3)
19.2 + 0.6t = (-12 + 3t)

Solving
19.2 + 0.6t = -12 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
19.2 + 0.6t + -3t = -12 + 3t + -3t

Combine like terms: 0.6t + -3t = -2.4t
19.2 + -2.4t = -12 + 3t + -3t

Combine like terms: 3t + -3t = 0
19.2 + -2.4t = -12 + 0
19.2 + -2.4t = -12

Add '-19.2' to each side of the equation.
19.2 + -19.2 + -2.4t = -12 + -19.2

Combine like terms: 19.2 + -19.2 = 0.0
0.0 + -2.4t = -12 + -19.2
-2.4t = -12 + -19.2

Combine like terms: -12 + -19.2 = -31.2
-2.4t = -31.2

Divide each side by '-2.4'.
t = 13

Simplifying
t = 13

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