0.15(t+36)-0.06(t-13)=8.16

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Solution for 0.15(t+36)-0.06(t-13)=8.16 equation:


Simplifying
0.15(t + 36) + -0.06(t + -13) = 8.16

Reorder the terms:
0.15(36 + t) + -0.06(t + -13) = 8.16
(36 * 0.15 + t * 0.15) + -0.06(t + -13) = 8.16
(5.4 + 0.15t) + -0.06(t + -13) = 8.16

Reorder the terms:
5.4 + 0.15t + -0.06(-13 + t) = 8.16
5.4 + 0.15t + (-13 * -0.06 + t * -0.06) = 8.16
5.4 + 0.15t + (0.78 + -0.06t) = 8.16

Reorder the terms:
5.4 + 0.78 + 0.15t + -0.06t = 8.16

Combine like terms: 5.4 + 0.78 = 6.18
6.18 + 0.15t + -0.06t = 8.16

Combine like terms: 0.15t + -0.06t = 0.09t
6.18 + 0.09t = 8.16

Solving
6.18 + 0.09t = 8.16

Solving for variable 't'.

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

Add '-6.18' to each side of the equation.
6.18 + -6.18 + 0.09t = 8.16 + -6.18

Combine like terms: 6.18 + -6.18 = 0.00
0.00 + 0.09t = 8.16 + -6.18
0.09t = 8.16 + -6.18

Combine like terms: 8.16 + -6.18 = 1.98
0.09t = 1.98

Divide each side by '0.09'.
t = 22

Simplifying
t = 22

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