0.6(t+29)=-3(3-t)

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Solution for 0.6(t+29)=-3(3-t) equation: 


Simplifying
0.6(t + 29) = -3(3 + -1t)

Reorder the terms:
0.6(29 + t) = -3(3 + -1t)
(29 * 0.6 + t * 0.6) = -3(3 + -1t)
(17.4 + 0.6t) = -3(3 + -1t)
17.4 + 0.6t = (3 * -3 + -1t * -3)
17.4 + 0.6t = (-9 + 3t)

Solving
17.4 + 0.6t = -9 + 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.
17.4 + 0.6t + -3t = -9 + 3t + -3t

Combine like terms: 0.6t + -3t = -2.4t
17.4 + -2.4t = -9 + 3t + -3t

Combine like terms: 3t + -3t = 0
17.4 + -2.4t = -9 + 0
17.4 + -2.4t = -9

Add '-17.4' to each side of the equation.
17.4 + -17.4 + -2.4t = -9 + -17.4

Combine like terms: 17.4 + -17.4 = 0.0
0.0 + -2.4t = -9 + -17.4
-2.4t = -9 + -17.4

Combine like terms: -9 + -17.4 = -26.4
-2.4t = -26.4

Divide each side by '-2.4'.
t = 11

Simplifying
t = 11

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