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Simplifying -2(4t + -5) + 3t = 2t + -9 Reorder the terms: -2(-5 + 4t) + 3t = 2t + -9 (-5 * -2 + 4t * -2) + 3t = 2t + -9 (10 + -8t) + 3t = 2t + -9 Combine like terms: -8t + 3t = -5t 10 + -5t = 2t + -9 Reorder the terms: 10 + -5t = -9 + 2t Solving 10 + -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. 10 + -5t + -2t = -9 + 2t + -2t Combine like terms: -5t + -2t = -7t 10 + -7t = -9 + 2t + -2t Combine like terms: 2t + -2t = 0 10 + -7t = -9 + 0 10 + -7t = -9 Add '-10' to each side of the equation. 10 + -10 + -7t = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -7t = -9 + -10 -7t = -9 + -10 Combine like terms: -9 + -10 = -19 -7t = -19 Divide each side by '-7'. t = 2.714285714 Simplifying t = 2.714285714
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