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Simplifying -5(3t + -3) + 9t = 2t + -6 Reorder the terms: -5(-3 + 3t) + 9t = 2t + -6 (-3 * -5 + 3t * -5) + 9t = 2t + -6 (15 + -15t) + 9t = 2t + -6 Combine like terms: -15t + 9t = -6t 15 + -6t = 2t + -6 Reorder the terms: 15 + -6t = -6 + 2t Solving 15 + -6t = -6 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 15 + -6t + -2t = -6 + 2t + -2t Combine like terms: -6t + -2t = -8t 15 + -8t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 15 + -8t = -6 + 0 15 + -8t = -6 Add '-15' to each side of the equation. 15 + -15 + -8t = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -8t = -6 + -15 -8t = -6 + -15 Combine like terms: -6 + -15 = -21 -8t = -21 Divide each side by '-8'. t = 2.625 Simplifying t = 2.625
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