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Simplifying -5(t + -1) + 9t = 7t + -6 Reorder the terms: -5(-1 + t) + 9t = 7t + -6 (-1 * -5 + t * -5) + 9t = 7t + -6 (5 + -5t) + 9t = 7t + -6 Combine like terms: -5t + 9t = 4t 5 + 4t = 7t + -6 Reorder the terms: 5 + 4t = -6 + 7t Solving 5 + 4t = -6 + 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. 5 + 4t + -7t = -6 + 7t + -7t Combine like terms: 4t + -7t = -3t 5 + -3t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 5 + -3t = -6 + 0 5 + -3t = -6 Add '-5' to each side of the equation. 5 + -5 + -3t = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -3t = -6 + -5 -3t = -6 + -5 Combine like terms: -6 + -5 = -11 -3t = -11 Divide each side by '-3'. t = 3.666666667 Simplifying t = 3.666666667
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