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Simplifying -2(5t + -2) + 8t = 5t + -5 Reorder the terms: -2(-2 + 5t) + 8t = 5t + -5 (-2 * -2 + 5t * -2) + 8t = 5t + -5 (4 + -10t) + 8t = 5t + -5 Combine like terms: -10t + 8t = -2t 4 + -2t = 5t + -5 Reorder the terms: 4 + -2t = -5 + 5t Solving 4 + -2t = -5 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 4 + -2t + -5t = -5 + 5t + -5t Combine like terms: -2t + -5t = -7t 4 + -7t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 4 + -7t = -5 + 0 4 + -7t = -5 Add '-4' to each side of the equation. 4 + -4 + -7t = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -7t = -5 + -4 -7t = -5 + -4 Combine like terms: -5 + -4 = -9 -7t = -9 Divide each side by '-7'. t = 1.285714286 Simplifying t = 1.285714286
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