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Simplifying -5(2t + -3) + 7t = 3t + -8 Reorder the terms: -5(-3 + 2t) + 7t = 3t + -8 (-3 * -5 + 2t * -5) + 7t = 3t + -8 (15 + -10t) + 7t = 3t + -8 Combine like terms: -10t + 7t = -3t 15 + -3t = 3t + -8 Reorder the terms: 15 + -3t = -8 + 3t Solving 15 + -3t = -8 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 15 + -3t + -3t = -8 + 3t + -3t Combine like terms: -3t + -3t = -6t 15 + -6t = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 15 + -6t = -8 + 0 15 + -6t = -8 Add '-15' to each side of the equation. 15 + -15 + -6t = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -6t = -8 + -15 -6t = -8 + -15 Combine like terms: -8 + -15 = -23 -6t = -23 Divide each side by '-6'. t = 3.833333333 Simplifying t = 3.833333333
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