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Simplifying -4(2t + -3) + 2t = 3t + -4 Reorder the terms: -4(-3 + 2t) + 2t = 3t + -4 (-3 * -4 + 2t * -4) + 2t = 3t + -4 (12 + -8t) + 2t = 3t + -4 Combine like terms: -8t + 2t = -6t 12 + -6t = 3t + -4 Reorder the terms: 12 + -6t = -4 + 3t Solving 12 + -6t = -4 + 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 = -4 + 3t + -3t Combine like terms: -6t + -3t = -9t 12 + -9t = -4 + 3t + -3t Combine like terms: 3t + -3t = 0 12 + -9t = -4 + 0 12 + -9t = -4 Add '-12' to each side of the equation. 12 + -12 + -9t = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -9t = -4 + -12 -9t = -4 + -12 Combine like terms: -4 + -12 = -16 -9t = -16 Divide each side by '-9'. t = 1.777777778 Simplifying t = 1.777777778
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