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Simplifying -5(t + -3) + 9t = 7t + -2 Reorder the terms: -5(-3 + t) + 9t = 7t + -2 (-3 * -5 + t * -5) + 9t = 7t + -2 (15 + -5t) + 9t = 7t + -2 Combine like terms: -5t + 9t = 4t 15 + 4t = 7t + -2 Reorder the terms: 15 + 4t = -2 + 7t Solving 15 + 4t = -2 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 15 + 4t + -7t = -2 + 7t + -7t Combine like terms: 4t + -7t = -3t 15 + -3t = -2 + 7t + -7t Combine like terms: 7t + -7t = 0 15 + -3t = -2 + 0 15 + -3t = -2 Add '-15' to each side of the equation. 15 + -15 + -3t = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -3t = -2 + -15 -3t = -2 + -15 Combine like terms: -2 + -15 = -17 -3t = -17 Divide each side by '-3'. t = 5.666666667 Simplifying t = 5.666666667
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