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Simplifying -3(t + -5) + 6t = 9t + -5 Reorder the terms: -3(-5 + t) + 6t = 9t + -5 (-5 * -3 + t * -3) + 6t = 9t + -5 (15 + -3t) + 6t = 9t + -5 Combine like terms: -3t + 6t = 3t 15 + 3t = 9t + -5 Reorder the terms: 15 + 3t = -5 + 9t Solving 15 + 3t = -5 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 15 + 3t + -9t = -5 + 9t + -9t Combine like terms: 3t + -9t = -6t 15 + -6t = -5 + 9t + -9t Combine like terms: 9t + -9t = 0 15 + -6t = -5 + 0 15 + -6t = -5 Add '-15' to each side of the equation. 15 + -15 + -6t = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -6t = -5 + -15 -6t = -5 + -15 Combine like terms: -5 + -15 = -20 -6t = -20 Divide each side by '-6'. t = 3.333333333 Simplifying t = 3.333333333
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