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Simplifying 4w + 3(8 + -2t) = t + -5w + 2t 4w + (8 * 3 + -2t * 3) = t + -5w + 2t 4w + (24 + -6t) = t + -5w + 2t Reorder the terms: 24 + -6t + 4w = t + -5w + 2t Reorder the terms: 24 + -6t + 4w = t + 2t + -5w Combine like terms: t + 2t = 3t 24 + -6t + 4w = 3t + -5w Solving 24 + -6t + 4w = 3t + -5w 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. 24 + -6t + -3t + 4w = 3t + -3t + -5w Combine like terms: -6t + -3t = -9t 24 + -9t + 4w = 3t + -3t + -5w Combine like terms: 3t + -3t = 0 24 + -9t + 4w = 0 + -5w 24 + -9t + 4w = -5w Add '-24' to each side of the equation. 24 + -9t + -24 + 4w = -24 + -5w Reorder the terms: 24 + -24 + -9t + 4w = -24 + -5w Combine like terms: 24 + -24 = 0 0 + -9t + 4w = -24 + -5w -9t + 4w = -24 + -5w Add '-4w' to each side of the equation. -9t + 4w + -4w = -24 + -5w + -4w Combine like terms: 4w + -4w = 0 -9t + 0 = -24 + -5w + -4w -9t = -24 + -5w + -4w Combine like terms: -5w + -4w = -9w -9t = -24 + -9w Divide each side by '-9'. t = 2.666666667 + w Simplifying t = 2.666666667 + w
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