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Simplifying 4w + -1(3w + 5) = 7w + 2 Reorder the terms: 4w + -1(5 + 3w) = 7w + 2 4w + (5 * -1 + 3w * -1) = 7w + 2 4w + (-5 + -3w) = 7w + 2 Reorder the terms: -5 + 4w + -3w = 7w + 2 Combine like terms: 4w + -3w = 1w -5 + 1w = 7w + 2 Reorder the terms: -5 + 1w = 2 + 7w Solving -5 + 1w = 2 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -5 + 1w + -7w = 2 + 7w + -7w Combine like terms: 1w + -7w = -6w -5 + -6w = 2 + 7w + -7w Combine like terms: 7w + -7w = 0 -5 + -6w = 2 + 0 -5 + -6w = 2 Add '5' to each side of the equation. -5 + 5 + -6w = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -6w = 2 + 5 -6w = 2 + 5 Combine like terms: 2 + 5 = 7 -6w = 7 Divide each side by '-6'. w = -1.166666667 Simplifying w = -1.166666667
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