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Simplifying -5(4t + -2) + 3t = 7t + -3 Reorder the terms: -5(-2 + 4t) + 3t = 7t + -3 (-2 * -5 + 4t * -5) + 3t = 7t + -3 (10 + -20t) + 3t = 7t + -3 Combine like terms: -20t + 3t = -17t 10 + -17t = 7t + -3 Reorder the terms: 10 + -17t = -3 + 7t Solving 10 + -17t = -3 + 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 + -17t + -7t = -3 + 7t + -7t Combine like terms: -17t + -7t = -24t 10 + -24t = -3 + 7t + -7t Combine like terms: 7t + -7t = 0 10 + -24t = -3 + 0 10 + -24t = -3 Add '-10' to each side of the equation. 10 + -10 + -24t = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -24t = -3 + -10 -24t = -3 + -10 Combine like terms: -3 + -10 = -13 -24t = -13 Divide each side by '-24'. t = 0.5416666667 Simplifying t = 0.5416666667
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