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Simplifying 8(5 + -2t) = 5(7 + -3t) (5 * 8 + -2t * 8) = 5(7 + -3t) (40 + -16t) = 5(7 + -3t) 40 + -16t = (7 * 5 + -3t * 5) 40 + -16t = (35 + -15t) Solving 40 + -16t = 35 + -15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15t' to each side of the equation. 40 + -16t + 15t = 35 + -15t + 15t Combine like terms: -16t + 15t = -1t 40 + -1t = 35 + -15t + 15t Combine like terms: -15t + 15t = 0 40 + -1t = 35 + 0 40 + -1t = 35 Add '-40' to each side of the equation. 40 + -40 + -1t = 35 + -40 Combine like terms: 40 + -40 = 0 0 + -1t = 35 + -40 -1t = 35 + -40 Combine like terms: 35 + -40 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5
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