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Simplifying -4(5t + -2) + 2t = 7t + -9 Reorder the terms: -4(-2 + 5t) + 2t = 7t + -9 (-2 * -4 + 5t * -4) + 2t = 7t + -9 (8 + -20t) + 2t = 7t + -9 Combine like terms: -20t + 2t = -18t 8 + -18t = 7t + -9 Reorder the terms: 8 + -18t = -9 + 7t Solving 8 + -18t = -9 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 8 + -18t + -7t = -9 + 7t + -7t Combine like terms: -18t + -7t = -25t 8 + -25t = -9 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -25t = -9 + 0 8 + -25t = -9 Add '-8' to each side of the equation. 8 + -8 + -25t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -25t = -9 + -8 -25t = -9 + -8 Combine like terms: -9 + -8 = -17 -25t = -17 Divide each side by '-25'. t = 0.68 Simplifying t = 0.68
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