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Simplifying 2(6t + -4) = 3t + -2 Reorder the terms: 2(-4 + 6t) = 3t + -2 (-4 * 2 + 6t * 2) = 3t + -2 (-8 + 12t) = 3t + -2 Reorder the terms: -8 + 12t = -2 + 3t Solving -8 + 12t = -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. -8 + 12t + -3t = -2 + 3t + -3t Combine like terms: 12t + -3t = 9t -8 + 9t = -2 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + 9t = -2 + 0 -8 + 9t = -2 Add '8' to each side of the equation. -8 + 8 + 9t = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 9t = -2 + 8 9t = -2 + 8 Combine like terms: -2 + 8 = 6 9t = 6 Divide each side by '9'. t = 0.6666666667 Simplifying t = 0.6666666667
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