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Simplifying 8(2 + -3t) + 7t + -13 = t + 24 (2 * 8 + -3t * 8) + 7t + -13 = t + 24 (16 + -24t) + 7t + -13 = t + 24 Reorder the terms: 16 + -13 + -24t + 7t = t + 24 Combine like terms: 16 + -13 = 3 3 + -24t + 7t = t + 24 Combine like terms: -24t + 7t = -17t 3 + -17t = t + 24 Reorder the terms: 3 + -17t = 24 + t Solving 3 + -17t = 24 + 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. 3 + -17t + -1t = 24 + t + -1t Combine like terms: -17t + -1t = -18t 3 + -18t = 24 + t + -1t Combine like terms: t + -1t = 0 3 + -18t = 24 + 0 3 + -18t = 24 Add '-3' to each side of the equation. 3 + -3 + -18t = 24 + -3 Combine like terms: 3 + -3 = 0 0 + -18t = 24 + -3 -18t = 24 + -3 Combine like terms: 24 + -3 = 21 -18t = 21 Divide each side by '-18'. t = -1.166666667 Simplifying t = -1.166666667
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