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Simplifying -2(t + -2) + 9t = 3t + -9 Reorder the terms: -2(-2 + t) + 9t = 3t + -9 (-2 * -2 + t * -2) + 9t = 3t + -9 (4 + -2t) + 9t = 3t + -9 Combine like terms: -2t + 9t = 7t 4 + 7t = 3t + -9 Reorder the terms: 4 + 7t = -9 + 3t Solving 4 + 7t = -9 + 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. 4 + 7t + -3t = -9 + 3t + -3t Combine like terms: 7t + -3t = 4t 4 + 4t = -9 + 3t + -3t Combine like terms: 3t + -3t = 0 4 + 4t = -9 + 0 4 + 4t = -9 Add '-4' to each side of the equation. 4 + -4 + 4t = -9 + -4 Combine like terms: 4 + -4 = 0 0 + 4t = -9 + -4 4t = -9 + -4 Combine like terms: -9 + -4 = -13 4t = -13 Divide each side by '4'. t = -3.25 Simplifying t = -3.25
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