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Simplifying -3(4t + -4) + 6t = 3t + -2 Reorder the terms: -3(-4 + 4t) + 6t = 3t + -2 (-4 * -3 + 4t * -3) + 6t = 3t + -2 (12 + -12t) + 6t = 3t + -2 Combine like terms: -12t + 6t = -6t 12 + -6t = 3t + -2 Reorder the terms: 12 + -6t = -2 + 3t Solving 12 + -6t = -2 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 12 + -6t + -3t = -2 + 3t + -3t Combine like terms: -6t + -3t = -9t 12 + -9t = -2 + 3t + -3t Combine like terms: 3t + -3t = 0 12 + -9t = -2 + 0 12 + -9t = -2 Add '-12' to each side of the equation. 12 + -12 + -9t = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -9t = -2 + -12 -9t = -2 + -12 Combine like terms: -2 + -12 = -14 -9t = -14 Divide each side by '-9'. t = 1.555555556 Simplifying t = 1.555555556
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