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Simplifying 16 + -5(3t + -4) = 8(-2t + 4) Reorder the terms: 16 + -5(-4 + 3t) = 8(-2t + 4) 16 + (-4 * -5 + 3t * -5) = 8(-2t + 4) 16 + (20 + -15t) = 8(-2t + 4) Combine like terms: 16 + 20 = 36 36 + -15t = 8(-2t + 4) Reorder the terms: 36 + -15t = 8(4 + -2t) 36 + -15t = (4 * 8 + -2t * 8) 36 + -15t = (32 + -16t) Solving 36 + -15t = 32 + -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 = 32 + -16t + 16t Combine like terms: -15t + 16t = 1t 36 + 1t = 32 + -16t + 16t Combine like terms: -16t + 16t = 0 36 + 1t = 32 + 0 36 + 1t = 32 Add '-36' to each side of the equation. 36 + -36 + 1t = 32 + -36 Combine like terms: 36 + -36 = 0 0 + 1t = 32 + -36 1t = 32 + -36 Combine like terms: 32 + -36 = -4 1t = -4 Divide each side by '1'. t = -4 Simplifying t = -4
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