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Simplifying -3(2t + -5) + 5 = 3t + 13 Reorder the terms: -3(-5 + 2t) + 5 = 3t + 13 (-5 * -3 + 2t * -3) + 5 = 3t + 13 (15 + -6t) + 5 = 3t + 13 Reorder the terms: 15 + 5 + -6t = 3t + 13 Combine like terms: 15 + 5 = 20 20 + -6t = 3t + 13 Reorder the terms: 20 + -6t = 13 + 3t Solving 20 + -6t = 13 + 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. 20 + -6t + -3t = 13 + 3t + -3t Combine like terms: -6t + -3t = -9t 20 + -9t = 13 + 3t + -3t Combine like terms: 3t + -3t = 0 20 + -9t = 13 + 0 20 + -9t = 13 Add '-20' to each side of the equation. 20 + -20 + -9t = 13 + -20 Combine like terms: 20 + -20 = 0 0 + -9t = 13 + -20 -9t = 13 + -20 Combine like terms: 13 + -20 = -7 -9t = -7 Divide each side by '-9'. t = 0.7777777778 Simplifying t = 0.7777777778
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