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Simplifying 13 + -1(3t + -4) = 8(-2t + 11) Reorder the terms: 13 + -1(-4 + 3t) = 8(-2t + 11) 13 + (-4 * -1 + 3t * -1) = 8(-2t + 11) 13 + (4 + -3t) = 8(-2t + 11) Combine like terms: 13 + 4 = 17 17 + -3t = 8(-2t + 11) Reorder the terms: 17 + -3t = 8(11 + -2t) 17 + -3t = (11 * 8 + -2t * 8) 17 + -3t = (88 + -16t) Solving 17 + -3t = 88 + -16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16t' to each side of the equation. 17 + -3t + 16t = 88 + -16t + 16t Combine like terms: -3t + 16t = 13t 17 + 13t = 88 + -16t + 16t Combine like terms: -16t + 16t = 0 17 + 13t = 88 + 0 17 + 13t = 88 Add '-17' to each side of the equation. 17 + -17 + 13t = 88 + -17 Combine like terms: 17 + -17 = 0 0 + 13t = 88 + -17 13t = 88 + -17 Combine like terms: 88 + -17 = 71 13t = 71 Divide each side by '13'. t = 5.461538462 Simplifying t = 5.461538462
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