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Simplifying -2(5t + -3) + 8t = 6t + -9 Reorder the terms: -2(-3 + 5t) + 8t = 6t + -9 (-3 * -2 + 5t * -2) + 8t = 6t + -9 (6 + -10t) + 8t = 6t + -9 Combine like terms: -10t + 8t = -2t 6 + -2t = 6t + -9 Reorder the terms: 6 + -2t = -9 + 6t Solving 6 + -2t = -9 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 6 + -2t + -6t = -9 + 6t + -6t Combine like terms: -2t + -6t = -8t 6 + -8t = -9 + 6t + -6t Combine like terms: 6t + -6t = 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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