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