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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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