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