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Simplifying 16 + -5[3t + -4] = 8[-2t + 11] Reorder the terms: 16 + -5[-4 + 3t] = 8[-2t + 11] 16 + [-4 * -5 + 3t * -5] = 8[-2t + 11] 16 + [20 + -15t] = 8[-2t + 11] Combine like terms: 16 + 20 = 36 36 + -15t = 8[-2t + 11] Reorder the terms: 36 + -15t = 8[11 + -2t] 36 + -15t = [11 * 8 + -2t * 8] 36 + -15t = [88 + -16t] Solving 36 + -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. 36 + -15t + 16t = 88 + -16t + 16t Combine like terms: -15t + 16t = 1t 36 + 1t = 88 + -16t + 16t Combine like terms: -16t + 16t = 0 36 + 1t = 88 + 0 36 + 1t = 88 Add '-36' to each side of the equation. 36 + -36 + 1t = 88 + -36 Combine like terms: 36 + -36 = 0 0 + 1t = 88 + -36 1t = 88 + -36 Combine like terms: 88 + -36 = 52 1t = 52 Divide each side by '1'. t = 52 Simplifying t = 52
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