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Simplifying -2(5t + -5) + 4t = 7t + -5 Reorder the terms: -2(-5 + 5t) + 4t = 7t + -5 (-5 * -2 + 5t * -2) + 4t = 7t + -5 (10 + -10t) + 4t = 7t + -5 Combine like terms: -10t + 4t = -6t 10 + -6t = 7t + -5 Reorder the terms: 10 + -6t = -5 + 7t Solving 10 + -6t = -5 + 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 + -6t + -7t = -5 + 7t + -7t Combine like terms: -6t + -7t = -13t 10 + -13t = -5 + 7t + -7t Combine like terms: 7t + -7t = 0 10 + -13t = -5 + 0 10 + -13t = -5 Add '-10' to each side of the equation. 10 + -10 + -13t = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -13t = -5 + -10 -13t = -5 + -10 Combine like terms: -5 + -10 = -15 -13t = -15 Divide each side by '-13'. t = 1.153846154 Simplifying t = 1.153846154
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