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Simplifying -5(3t + -4) + 9t = 3t + -3 Reorder the terms: -5(-4 + 3t) + 9t = 3t + -3 (-4 * -5 + 3t * -5) + 9t = 3t + -3 (20 + -15t) + 9t = 3t + -3 Combine like terms: -15t + 9t = -6t 20 + -6t = 3t + -3 Reorder the terms: 20 + -6t = -3 + 3t Solving 20 + -6t = -3 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 20 + -6t + -3t = -3 + 3t + -3t Combine like terms: -6t + -3t = -9t 20 + -9t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 20 + -9t = -3 + 0 20 + -9t = -3 Add '-20' to each side of the equation. 20 + -20 + -9t = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -9t = -3 + -20 -9t = -3 + -20 Combine like terms: -3 + -20 = -23 -9t = -23 Divide each side by '-9'. t = 2.555555556 Simplifying t = 2.555555556
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