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Simplifying -5(t + -2) + 7t = 9t + -2 Reorder the terms: -5(-2 + t) + 7t = 9t + -2 (-2 * -5 + t * -5) + 7t = 9t + -2 (10 + -5t) + 7t = 9t + -2 Combine like terms: -5t + 7t = 2t 10 + 2t = 9t + -2 Reorder the terms: 10 + 2t = -2 + 9t Solving 10 + 2t = -2 + 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. 10 + 2t + -9t = -2 + 9t + -9t Combine like terms: 2t + -9t = -7t 10 + -7t = -2 + 9t + -9t Combine like terms: 9t + -9t = 0 10 + -7t = -2 + 0 10 + -7t = -2 Add '-10' to each side of the equation. 10 + -10 + -7t = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -7t = -2 + -10 -7t = -2 + -10 Combine like terms: -2 + -10 = -12 -7t = -12 Divide each side by '-7'. t = 1.714285714 Simplifying t = 1.714285714
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