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Simplifying -5(t + -4) + 9t = 7t + -3 Reorder the terms: -5(-4 + t) + 9t = 7t + -3 (-4 * -5 + t * -5) + 9t = 7t + -3 (20 + -5t) + 9t = 7t + -3 Combine like terms: -5t + 9t = 4t 20 + 4t = 7t + -3 Reorder the terms: 20 + 4t = -3 + 7t Solving 20 + 4t = -3 + 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. 20 + 4t + -7t = -3 + 7t + -7t Combine like terms: 4t + -7t = -3t 20 + -3t = -3 + 7t + -7t Combine like terms: 7t + -7t = 0 20 + -3t = -3 + 0 20 + -3t = -3 Add '-20' to each side of the equation. 20 + -20 + -3t = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -3t = -3 + -20 -3t = -3 + -20 Combine like terms: -3 + -20 = -23 -3t = -23 Divide each side by '-3'. t = 7.666666667 Simplifying t = 7.666666667
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