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Simplifying -5(3t + -4) + 9t = 8t + -5 Reorder the terms: -5(-4 + 3t) + 9t = 8t + -5 (-4 * -5 + 3t * -5) + 9t = 8t + -5 (20 + -15t) + 9t = 8t + -5 Combine like terms: -15t + 9t = -6t 20 + -6t = 8t + -5 Reorder the terms: 20 + -6t = -5 + 8t Solving 20 + -6t = -5 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 20 + -6t + -8t = -5 + 8t + -8t Combine like terms: -6t + -8t = -14t 20 + -14t = -5 + 8t + -8t Combine like terms: 8t + -8t = 0 20 + -14t = -5 + 0 20 + -14t = -5 Add '-20' to each side of the equation. 20 + -20 + -14t = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -14t = -5 + -20 -14t = -5 + -20 Combine like terms: -5 + -20 = -25 -14t = -25 Divide each side by '-14'. t = 1.785714286 Simplifying t = 1.785714286
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