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Simplifying -5(4t + -2) + 2t = 7t + -2 Reorder the terms: -5(-2 + 4t) + 2t = 7t + -2 (-2 * -5 + 4t * -5) + 2t = 7t + -2 (10 + -20t) + 2t = 7t + -2 Combine like terms: -20t + 2t = -18t 10 + -18t = 7t + -2 Reorder the terms: 10 + -18t = -2 + 7t Solving 10 + -18t = -2 + 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. 10 + -18t + -7t = -2 + 7t + -7t Combine like terms: -18t + -7t = -25t 10 + -25t = -2 + 7t + -7t Combine like terms: 7t + -7t = 0 10 + -25t = -2 + 0 10 + -25t = -2 Add '-10' to each side of the equation. 10 + -10 + -25t = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -25t = -2 + -10 -25t = -2 + -10 Combine like terms: -2 + -10 = -12 -25t = -12 Divide each side by '-25'. t = 0.48 Simplifying t = 0.48
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