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Simplifying -5(t + -3) + 9t = 8t + -6 Reorder the terms: -5(-3 + t) + 9t = 8t + -6 (-3 * -5 + t * -5) + 9t = 8t + -6 (15 + -5t) + 9t = 8t + -6 Combine like terms: -5t + 9t = 4t 15 + 4t = 8t + -6 Reorder the terms: 15 + 4t = -6 + 8t Solving 15 + 4t = -6 + 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. 15 + 4t + -8t = -6 + 8t + -8t Combine like terms: 4t + -8t = -4t 15 + -4t = -6 + 8t + -8t Combine like terms: 8t + -8t = 0 15 + -4t = -6 + 0 15 + -4t = -6 Add '-15' to each side of the equation. 15 + -15 + -4t = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -4t = -6 + -15 -4t = -6 + -15 Combine like terms: -6 + -15 = -21 -4t = -21 Divide each side by '-4'. t = 5.25 Simplifying t = 5.25
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