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Simplifying -2(3t + -4) + 3t = 6t + -6 Reorder the terms: -2(-4 + 3t) + 3t = 6t + -6 (-4 * -2 + 3t * -2) + 3t = 6t + -6 (8 + -6t) + 3t = 6t + -6 Combine like terms: -6t + 3t = -3t 8 + -3t = 6t + -6 Reorder the terms: 8 + -3t = -6 + 6t Solving 8 + -3t = -6 + 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. 8 + -3t + -6t = -6 + 6t + -6t Combine like terms: -3t + -6t = -9t 8 + -9t = -6 + 6t + -6t Combine like terms: 6t + -6t = 0 8 + -9t = -6 + 0 8 + -9t = -6 Add '-8' to each side of the equation. 8 + -8 + -9t = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -9t = -6 + -8 -9t = -6 + -8 Combine like terms: -6 + -8 = -14 -9t = -14 Divide each side by '-9'. t = 1.555555556 Simplifying t = 1.555555556
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