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Simplifying -2(5t + -4) + 3t = 2t + -6 Reorder the terms: -2(-4 + 5t) + 3t = 2t + -6 (-4 * -2 + 5t * -2) + 3t = 2t + -6 (8 + -10t) + 3t = 2t + -6 Combine like terms: -10t + 3t = -7t 8 + -7t = 2t + -6 Reorder the terms: 8 + -7t = -6 + 2t Solving 8 + -7t = -6 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 8 + -7t + -2t = -6 + 2t + -2t Combine like terms: -7t + -2t = -9t 8 + -9t = -6 + 2t + -2t Combine like terms: 2t + -2t = 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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