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Simplifying -5(2t + -4) + 6t = 4t + -9 Reorder the terms: -5(-4 + 2t) + 6t = 4t + -9 (-4 * -5 + 2t * -5) + 6t = 4t + -9 (20 + -10t) + 6t = 4t + -9 Combine like terms: -10t + 6t = -4t 20 + -4t = 4t + -9 Reorder the terms: 20 + -4t = -9 + 4t Solving 20 + -4t = -9 + 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. 20 + -4t + -4t = -9 + 4t + -4t Combine like terms: -4t + -4t = -8t 20 + -8t = -9 + 4t + -4t Combine like terms: 4t + -4t = 0 20 + -8t = -9 + 0 20 + -8t = -9 Add '-20' to each side of the equation. 20 + -20 + -8t = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -8t = -9 + -20 -8t = -9 + -20 Combine like terms: -9 + -20 = -29 -8t = -29 Divide each side by '-8'. t = 3.625 Simplifying t = 3.625
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