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Simplifying -2(3t + -2) + 3t = 6t + -3 Reorder the terms: -2(-2 + 3t) + 3t = 6t + -3 (-2 * -2 + 3t * -2) + 3t = 6t + -3 (4 + -6t) + 3t = 6t + -3 Combine like terms: -6t + 3t = -3t 4 + -3t = 6t + -3 Reorder the terms: 4 + -3t = -3 + 6t Solving 4 + -3t = -3 + 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. 4 + -3t + -6t = -3 + 6t + -6t Combine like terms: -3t + -6t = -9t 4 + -9t = -3 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + -9t = -3 + 0 4 + -9t = -3 Add '-4' to each side of the equation. 4 + -4 + -9t = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -9t = -3 + -4 -9t = -3 + -4 Combine like terms: -3 + -4 = -7 -9t = -7 Divide each side by '-9'. t = 0.7777777778 Simplifying t = 0.7777777778
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