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Simplifying -5(3t + -3) + 6t = 8t + -9 Reorder the terms: -5(-3 + 3t) + 6t = 8t + -9 (-3 * -5 + 3t * -5) + 6t = 8t + -9 (15 + -15t) + 6t = 8t + -9 Combine like terms: -15t + 6t = -9t 15 + -9t = 8t + -9 Reorder the terms: 15 + -9t = -9 + 8t Solving 15 + -9t = -9 + 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 + -9t + -8t = -9 + 8t + -8t Combine like terms: -9t + -8t = -17t 15 + -17t = -9 + 8t + -8t Combine like terms: 8t + -8t = 0 15 + -17t = -9 + 0 15 + -17t = -9 Add '-15' to each side of the equation. 15 + -15 + -17t = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -17t = -9 + -15 -17t = -9 + -15 Combine like terms: -9 + -15 = -24 -17t = -24 Divide each side by '-17'. t = 1.411764706 Simplifying t = 1.411764706
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