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Simplifying -2(4t + -4) + 3t = 4t + -6 Reorder the terms: -2(-4 + 4t) + 3t = 4t + -6 (-4 * -2 + 4t * -2) + 3t = 4t + -6 (8 + -8t) + 3t = 4t + -6 Combine like terms: -8t + 3t = -5t 8 + -5t = 4t + -6 Reorder the terms: 8 + -5t = -6 + 4t Solving 8 + -5t = -6 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 8 + -5t + -4t = -6 + 4t + -4t Combine like terms: -5t + -4t = -9t 8 + -9t = -6 + 4t + -4t Combine like terms: 4t + -4t = 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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