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Simplifying -3(2t + -5) = 3(t + -1) Reorder the terms: -3(-5 + 2t) = 3(t + -1) (-5 * -3 + 2t * -3) = 3(t + -1) (15 + -6t) = 3(t + -1) Reorder the terms: 15 + -6t = 3(-1 + t) 15 + -6t = (-1 * 3 + t * 3) 15 + -6t = (-3 + 3t) Solving 15 + -6t = -3 + 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 = -3 + 3t + -3t Combine like terms: -6t + -3t = -9t 15 + -9t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 15 + -9t = -3 + 0 15 + -9t = -3 Add '-15' to each side of the equation. 15 + -15 + -9t = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -9t = -3 + -15 -9t = -3 + -15 Combine like terms: -3 + -15 = -18 -9t = -18 Divide each side by '-9'. t = 2 Simplifying t = 2
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