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Simplifying -5(2t + -3) + 7t = 5t + 8 Reorder the terms: -5(-3 + 2t) + 7t = 5t + 8 (-3 * -5 + 2t * -5) + 7t = 5t + 8 (15 + -10t) + 7t = 5t + 8 Combine like terms: -10t + 7t = -3t 15 + -3t = 5t + 8 Reorder the terms: 15 + -3t = 8 + 5t Solving 15 + -3t = 8 + 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 + -3t + -5t = 8 + 5t + -5t Combine like terms: -3t + -5t = -8t 15 + -8t = 8 + 5t + -5t Combine like terms: 5t + -5t = 0 15 + -8t = 8 + 0 15 + -8t = 8 Add '-15' to each side of the equation. 15 + -15 + -8t = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -8t = 8 + -15 -8t = 8 + -15 Combine like terms: 8 + -15 = -7 -8t = -7 Divide each side by '-8'. t = 0.875 Simplifying t = 0.875
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