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Simplifying -3(t + -5) + 9t = 3t + -1 Reorder the terms: -3(-5 + t) + 9t = 3t + -1 (-5 * -3 + t * -3) + 9t = 3t + -1 (15 + -3t) + 9t = 3t + -1 Combine like terms: -3t + 9t = 6t 15 + 6t = 3t + -1 Reorder the terms: 15 + 6t = -1 + 3t Solving 15 + 6t = -1 + 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 = -1 + 3t + -3t Combine like terms: 6t + -3t = 3t 15 + 3t = -1 + 3t + -3t Combine like terms: 3t + -3t = 0 15 + 3t = -1 + 0 15 + 3t = -1 Add '-15' to each side of the equation. 15 + -15 + 3t = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 3t = -1 + -15 3t = -1 + -15 Combine like terms: -1 + -15 = -16 3t = -16 Divide each side by '3'. t = -5.333333333 Simplifying t = -5.333333333
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