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Simplifying 36(t + 5) + -24(t + 10) = t + 15 Reorder the terms: 36(5 + t) + -24(t + 10) = t + 15 (5 * 36 + t * 36) + -24(t + 10) = t + 15 (180 + 36t) + -24(t + 10) = t + 15 Reorder the terms: 180 + 36t + -24(10 + t) = t + 15 180 + 36t + (10 * -24 + t * -24) = t + 15 180 + 36t + (-240 + -24t) = t + 15 Reorder the terms: 180 + -240 + 36t + -24t = t + 15 Combine like terms: 180 + -240 = -60 -60 + 36t + -24t = t + 15 Combine like terms: 36t + -24t = 12t -60 + 12t = t + 15 Reorder the terms: -60 + 12t = 15 + t Solving -60 + 12t = 15 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -60 + 12t + -1t = 15 + t + -1t Combine like terms: 12t + -1t = 11t -60 + 11t = 15 + t + -1t Combine like terms: t + -1t = 0 -60 + 11t = 15 + 0 -60 + 11t = 15 Add '60' to each side of the equation. -60 + 60 + 11t = 15 + 60 Combine like terms: -60 + 60 = 0 0 + 11t = 15 + 60 11t = 15 + 60 Combine like terms: 15 + 60 = 75 11t = 75 Divide each side by '11'. t = 6.818181818 Simplifying t = 6.818181818
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