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Simplifying -5(4t + -2) + 7t = 5t + -7 Reorder the terms: -5(-2 + 4t) + 7t = 5t + -7 (-2 * -5 + 4t * -5) + 7t = 5t + -7 (10 + -20t) + 7t = 5t + -7 Combine like terms: -20t + 7t = -13t 10 + -13t = 5t + -7 Reorder the terms: 10 + -13t = -7 + 5t Solving 10 + -13t = -7 + 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. 10 + -13t + -5t = -7 + 5t + -5t Combine like terms: -13t + -5t = -18t 10 + -18t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 10 + -18t = -7 + 0 10 + -18t = -7 Add '-10' to each side of the equation. 10 + -10 + -18t = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -18t = -7 + -10 -18t = -7 + -10 Combine like terms: -7 + -10 = -17 -18t = -17 Divide each side by '-18'. t = 0.9444444444 Simplifying t = 0.9444444444
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