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Simplifying -5(3t + -4) = 8(-2t + 11) Reorder the terms: -5(-4 + 3t) = 8(-2t + 11) (-4 * -5 + 3t * -5) = 8(-2t + 11) (20 + -15t) = 8(-2t + 11) Reorder the terms: 20 + -15t = 8(11 + -2t) 20 + -15t = (11 * 8 + -2t * 8) 20 + -15t = (88 + -16t) Solving 20 + -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. 20 + -15t + 16t = 88 + -16t + 16t Combine like terms: -15t + 16t = 1t 20 + 1t = 88 + -16t + 16t Combine like terms: -16t + 16t = 0 20 + 1t = 88 + 0 20 + 1t = 88 Add '-20' to each side of the equation. 20 + -20 + 1t = 88 + -20 Combine like terms: 20 + -20 = 0 0 + 1t = 88 + -20 1t = 88 + -20 Combine like terms: 88 + -20 = 68 1t = 68 Divide each side by '1'. t = 68 Simplifying t = 68
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