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Simplifying -2(5t + -2) + 4t = 7t + -8 Reorder the terms: -2(-2 + 5t) + 4t = 7t + -8 (-2 * -2 + 5t * -2) + 4t = 7t + -8 (4 + -10t) + 4t = 7t + -8 Combine like terms: -10t + 4t = -6t 4 + -6t = 7t + -8 Reorder the terms: 4 + -6t = -8 + 7t Solving 4 + -6t = -8 + 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. 4 + -6t + -7t = -8 + 7t + -7t Combine like terms: -6t + -7t = -13t 4 + -13t = -8 + 7t + -7t Combine like terms: 7t + -7t = 0 4 + -13t = -8 + 0 4 + -13t = -8 Add '-4' to each side of the equation. 4 + -4 + -13t = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -13t = -8 + -4 -13t = -8 + -4 Combine like terms: -8 + -4 = -12 -13t = -12 Divide each side by '-13'. t = 0.9230769231 Simplifying t = 0.9230769231
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