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Simplifying -3(5t + -2) + 9t = 2t + -9 Reorder the terms: -3(-2 + 5t) + 9t = 2t + -9 (-2 * -3 + 5t * -3) + 9t = 2t + -9 (6 + -15t) + 9t = 2t + -9 Combine like terms: -15t + 9t = -6t 6 + -6t = 2t + -9 Reorder the terms: 6 + -6t = -9 + 2t Solving 6 + -6t = -9 + 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. 6 + -6t + -2t = -9 + 2t + -2t Combine like terms: -6t + -2t = -8t 6 + -8t = -9 + 2t + -2t Combine like terms: 2t + -2t = 0 6 + -8t = -9 + 0 6 + -8t = -9 Add '-6' to each side of the equation. 6 + -6 + -8t = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -8t = -9 + -6 -8t = -9 + -6 Combine like terms: -9 + -6 = -15 -8t = -15 Divide each side by '-8'. t = 1.875 Simplifying t = 1.875
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