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Simplifying 15 + -5(3t + -4) = 8(-2t + 11) Reorder the terms: 15 + -5(-4 + 3t) = 8(-2t + 11) 15 + (-4 * -5 + 3t * -5) = 8(-2t + 11) 15 + (20 + -15t) = 8(-2t + 11) Combine like terms: 15 + 20 = 35 35 + -15t = 8(-2t + 11) Reorder the terms: 35 + -15t = 8(11 + -2t) 35 + -15t = (11 * 8 + -2t * 8) 35 + -15t = (88 + -16t) Solving 35 + -15t = 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. 35 + -15t + 16t = 88 + -16t + 16t Combine like terms: -15t + 16t = 1t 35 + 1t = 88 + -16t + 16t Combine like terms: -16t + 16t = 0 35 + 1t = 88 + 0 35 + 1t = 88 Add '-35' to each side of the equation. 35 + -35 + 1t = 88 + -35 Combine like terms: 35 + -35 = 0 0 + 1t = 88 + -35 1t = 88 + -35 Combine like terms: 88 + -35 = 53 1t = 53 Divide each side by '1'. t = 53 Simplifying t = 53
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