0.6(t+19)=-3(5-t)

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Solution for 0.6(t+19)=-3(5-t) equation: 


Simplifying
0.6(t + 19) = -3(5 + -1t)

Reorder the terms:
0.6(19 + t) = -3(5 + -1t)
(19 * 0.6 + t * 0.6) = -3(5 + -1t)
(11.4 + 0.6t) = -3(5 + -1t)
11.4 + 0.6t = (5 * -3 + -1t * -3)
11.4 + 0.6t = (-15 + 3t)

Solving
11.4 + 0.6t = -15 + 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.
11.4 + 0.6t + -3t = -15 + 3t + -3t

Combine like terms: 0.6t + -3t = -2.4t
11.4 + -2.4t = -15 + 3t + -3t

Combine like terms: 3t + -3t = 0
11.4 + -2.4t = -15 + 0
11.4 + -2.4t = -15

Add '-11.4' to each side of the equation.
11.4 + -11.4 + -2.4t = -15 + -11.4

Combine like terms: 11.4 + -11.4 = 0.0
0.0 + -2.4t = -15 + -11.4
-2.4t = -15 + -11.4

Combine like terms: -15 + -11.4 = -26.4
-2.4t = -26.4

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

Simplifying
t = 11

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