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Simplifying -3(t + -5) + 8t = 7t + -3 Reorder the terms: -3(-5 + t) + 8t = 7t + -3 (-5 * -3 + t * -3) + 8t = 7t + -3 (15 + -3t) + 8t = 7t + -3 Combine like terms: -3t + 8t = 5t 15 + 5t = 7t + -3 Reorder the terms: 15 + 5t = -3 + 7t Solving 15 + 5t = -3 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 15 + 5t + -7t = -3 + 7t + -7t Combine like terms: 5t + -7t = -2t 15 + -2t = -3 + 7t + -7t Combine like terms: 7t + -7t = 0 15 + -2t = -3 + 0 15 + -2t = -3 Add '-15' to each side of the equation. 15 + -15 + -2t = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -2t = -3 + -15 -2t = -3 + -15 Combine like terms: -3 + -15 = -18 -2t = -18 Divide each side by '-2'. t = 9 Simplifying t = 9
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