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Simplifying 5t + -9(t + -1) = 3t + 5 Reorder the terms: 5t + -9(-1 + t) = 3t + 5 5t + (-1 * -9 + t * -9) = 3t + 5 5t + (9 + -9t) = 3t + 5 Reorder the terms: 9 + 5t + -9t = 3t + 5 Combine like terms: 5t + -9t = -4t 9 + -4t = 3t + 5 Reorder the terms: 9 + -4t = 5 + 3t Solving 9 + -4t = 5 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 9 + -4t + -3t = 5 + 3t + -3t Combine like terms: -4t + -3t = -7t 9 + -7t = 5 + 3t + -3t Combine like terms: 3t + -3t = 0 9 + -7t = 5 + 0 9 + -7t = 5 Add '-9' to each side of the equation. 9 + -9 + -7t = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -7t = 5 + -9 -7t = 5 + -9 Combine like terms: 5 + -9 = -4 -7t = -4 Divide each side by '-7'. t = 0.5714285714 Simplifying t = 0.5714285714
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