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Simplifying -5(t + -3) + 7t = 5t + -1 Reorder the terms: -5(-3 + t) + 7t = 5t + -1 (-3 * -5 + t * -5) + 7t = 5t + -1 (15 + -5t) + 7t = 5t + -1 Combine like terms: -5t + 7t = 2t 15 + 2t = 5t + -1 Reorder the terms: 15 + 2t = -1 + 5t Solving 15 + 2t = -1 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 15 + 2t + -5t = -1 + 5t + -5t Combine like terms: 2t + -5t = -3t 15 + -3t = -1 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + -3t = -1 + 0 15 + -3t = -1 Add '-15' to each side of the equation. 15 + -15 + -3t = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -3t = -1 + -15 -3t = -1 + -15 Combine like terms: -1 + -15 = -16 -3t = -16 Divide each side by '-3'. t = 5.333333333 Simplifying t = 5.333333333
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