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Simplifying -5(4t + -4) + 6t = 5t + -9 Reorder the terms: -5(-4 + 4t) + 6t = 5t + -9 (-4 * -5 + 4t * -5) + 6t = 5t + -9 (20 + -20t) + 6t = 5t + -9 Combine like terms: -20t + 6t = -14t 20 + -14t = 5t + -9 Reorder the terms: 20 + -14t = -9 + 5t Solving 20 + -14t = -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. 20 + -14t + -5t = -9 + 5t + -5t Combine like terms: -14t + -5t = -19t 20 + -19t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 20 + -19t = -9 + 0 20 + -19t = -9 Add '-20' to each side of the equation. 20 + -20 + -19t = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -19t = -9 + -20 -19t = -9 + -20 Combine like terms: -9 + -20 = -29 -19t = -29 Divide each side by '-19'. t = 1.526315789 Simplifying t = 1.526315789
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