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Simplifying -4(5t + -2) + 7t = 5t + -9 Reorder the terms: -4(-2 + 5t) + 7t = 5t + -9 (-2 * -4 + 5t * -4) + 7t = 5t + -9 (8 + -20t) + 7t = 5t + -9 Combine like terms: -20t + 7t = -13t 8 + -13t = 5t + -9 Reorder the terms: 8 + -13t = -9 + 5t Solving 8 + -13t = -9 + 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. 8 + -13t + -5t = -9 + 5t + -5t Combine like terms: -13t + -5t = -18t 8 + -18t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -18t = -9 + 0 8 + -18t = -9 Add '-8' to each side of the equation. 8 + -8 + -18t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -18t = -9 + -8 -18t = -9 + -8 Combine like terms: -9 + -8 = -17 -18t = -17 Divide each side by '-18'. t = 0.9444444444 Simplifying t = 0.9444444444
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