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Simplifying -2(5t + -2) + 5t = 2t + -9 Reorder the terms: -2(-2 + 5t) + 5t = 2t + -9 (-2 * -2 + 5t * -2) + 5t = 2t + -9 (4 + -10t) + 5t = 2t + -9 Combine like terms: -10t + 5t = -5t 4 + -5t = 2t + -9 Reorder the terms: 4 + -5t = -9 + 2t Solving 4 + -5t = -9 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 4 + -5t + -2t = -9 + 2t + -2t Combine like terms: -5t + -2t = -7t 4 + -7t = -9 + 2t + -2t Combine like terms: 2t + -2t = 0 4 + -7t = -9 + 0 4 + -7t = -9 Add '-4' to each side of the equation. 4 + -4 + -7t = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -7t = -9 + -4 -7t = -9 + -4 Combine like terms: -9 + -4 = -13 -7t = -13 Divide each side by '-7'. t = 1.857142857 Simplifying t = 1.857142857
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