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Simplifying 5(-3t + 15) = -9 + 13t Reorder the terms: 5(15 + -3t) = -9 + 13t (15 * 5 + -3t * 5) = -9 + 13t (75 + -15t) = -9 + 13t Solving 75 + -15t = -9 + 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. 75 + -15t + -13t = -9 + 13t + -13t Combine like terms: -15t + -13t = -28t 75 + -28t = -9 + 13t + -13t Combine like terms: 13t + -13t = 0 75 + -28t = -9 + 0 75 + -28t = -9 Add '-75' to each side of the equation. 75 + -75 + -28t = -9 + -75 Combine like terms: 75 + -75 = 0 0 + -28t = -9 + -75 -28t = -9 + -75 Combine like terms: -9 + -75 = -84 -28t = -84 Divide each side by '-28'. t = 3 Simplifying t = 3
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