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Simplifying -5(t + -3) + -7(-3t + -8) = 15(t + 3) + -4 Reorder the terms: -5(-3 + t) + -7(-3t + -8) = 15(t + 3) + -4 (-3 * -5 + t * -5) + -7(-3t + -8) = 15(t + 3) + -4 (15 + -5t) + -7(-3t + -8) = 15(t + 3) + -4 Reorder the terms: 15 + -5t + -7(-8 + -3t) = 15(t + 3) + -4 15 + -5t + (-8 * -7 + -3t * -7) = 15(t + 3) + -4 15 + -5t + (56 + 21t) = 15(t + 3) + -4 Reorder the terms: 15 + 56 + -5t + 21t = 15(t + 3) + -4 Combine like terms: 15 + 56 = 71 71 + -5t + 21t = 15(t + 3) + -4 Combine like terms: -5t + 21t = 16t 71 + 16t = 15(t + 3) + -4 Reorder the terms: 71 + 16t = 15(3 + t) + -4 71 + 16t = (3 * 15 + t * 15) + -4 71 + 16t = (45 + 15t) + -4 Reorder the terms: 71 + 16t = 45 + -4 + 15t Combine like terms: 45 + -4 = 41 71 + 16t = 41 + 15t Solving 71 + 16t = 41 + 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. 71 + 16t + -15t = 41 + 15t + -15t Combine like terms: 16t + -15t = 1t 71 + 1t = 41 + 15t + -15t Combine like terms: 15t + -15t = 0 71 + 1t = 41 + 0 71 + 1t = 41 Add '-71' to each side of the equation. 71 + -71 + 1t = 41 + -71 Combine like terms: 71 + -71 = 0 0 + 1t = 41 + -71 1t = 41 + -71 Combine like terms: 41 + -71 = -30 1t = -30 Divide each side by '1'. t = -30 Simplifying t = -30
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