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Simplifying -2(3t + -5) + 5 = 3t + 7 Reorder the terms: -2(-5 + 3t) + 5 = 3t + 7 (-5 * -2 + 3t * -2) + 5 = 3t + 7 (10 + -6t) + 5 = 3t + 7 Reorder the terms: 10 + 5 + -6t = 3t + 7 Combine like terms: 10 + 5 = 15 15 + -6t = 3t + 7 Reorder the terms: 15 + -6t = 7 + 3t Solving 15 + -6t = 7 + 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 + -6t + -3t = 7 + 3t + -3t Combine like terms: -6t + -3t = -9t 15 + -9t = 7 + 3t + -3t Combine like terms: 3t + -3t = 0 15 + -9t = 7 + 0 15 + -9t = 7 Add '-15' to each side of the equation. 15 + -15 + -9t = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -9t = 7 + -15 -9t = 7 + -15 Combine like terms: 7 + -15 = -8 -9t = -8 Divide each side by '-9'. t = 0.8888888889 Simplifying t = 0.8888888889
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