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Simplifying -5(4t + -2) + 7t = 4t + -2 Reorder the terms: -5(-2 + 4t) + 7t = 4t + -2 (-2 * -5 + 4t * -5) + 7t = 4t + -2 (10 + -20t) + 7t = 4t + -2 Combine like terms: -20t + 7t = -13t 10 + -13t = 4t + -2 Reorder the terms: 10 + -13t = -2 + 4t Solving 10 + -13t = -2 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 10 + -13t + -4t = -2 + 4t + -4t Combine like terms: -13t + -4t = -17t 10 + -17t = -2 + 4t + -4t Combine like terms: 4t + -4t = 0 10 + -17t = -2 + 0 10 + -17t = -2 Add '-10' to each side of the equation. 10 + -10 + -17t = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -17t = -2 + -10 -17t = -2 + -10 Combine like terms: -2 + -10 = -12 -17t = -12 Divide each side by '-17'. t = 0.7058823529 Simplifying t = 0.7058823529
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