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Simplifying -5(t + -3) + 7t = 9t + -6 Reorder the terms: -5(-3 + t) + 7t = 9t + -6 (-3 * -5 + t * -5) + 7t = 9t + -6 (15 + -5t) + 7t = 9t + -6 Combine like terms: -5t + 7t = 2t 15 + 2t = 9t + -6 Reorder the terms: 15 + 2t = -6 + 9t Solving 15 + 2t = -6 + 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 + 2t + -9t = -6 + 9t + -9t Combine like terms: 2t + -9t = -7t 15 + -7t = -6 + 9t + -9t Combine like terms: 9t + -9t = 0 15 + -7t = -6 + 0 15 + -7t = -6 Add '-15' to each side of the equation. 15 + -15 + -7t = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -7t = -6 + -15 -7t = -6 + -15 Combine like terms: -6 + -15 = -21 -7t = -21 Divide each side by '-7'. t = 3 Simplifying t = 3
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