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Simplifying -2(t + -5) + 9t = 3t + -2 Reorder the terms: -2(-5 + t) + 9t = 3t + -2 (-5 * -2 + t * -2) + 9t = 3t + -2 (10 + -2t) + 9t = 3t + -2 Combine like terms: -2t + 9t = 7t 10 + 7t = 3t + -2 Reorder the terms: 10 + 7t = -2 + 3t Solving 10 + 7t = -2 + 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. 10 + 7t + -3t = -2 + 3t + -3t Combine like terms: 7t + -3t = 4t 10 + 4t = -2 + 3t + -3t Combine like terms: 3t + -3t = 0 10 + 4t = -2 + 0 10 + 4t = -2 Add '-10' to each side of the equation. 10 + -10 + 4t = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 4t = -2 + -10 4t = -2 + -10 Combine like terms: -2 + -10 = -12 4t = -12 Divide each side by '4'. t = -3 Simplifying t = -3
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