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Simplifying -1w + -2(w + 3) = 5w + -3 + -1w Reorder the terms: -1w + -2(3 + w) = 5w + -3 + -1w -1w + (3 * -2 + w * -2) = 5w + -3 + -1w -1w + (-6 + -2w) = 5w + -3 + -1w Reorder the terms: -6 + -1w + -2w = 5w + -3 + -1w Combine like terms: -1w + -2w = -3w -6 + -3w = 5w + -3 + -1w Reorder the terms: -6 + -3w = -3 + 5w + -1w Combine like terms: 5w + -1w = 4w -6 + -3w = -3 + 4w Solving -6 + -3w = -3 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -6 + -3w + -4w = -3 + 4w + -4w Combine like terms: -3w + -4w = -7w -6 + -7w = -3 + 4w + -4w Combine like terms: 4w + -4w = 0 -6 + -7w = -3 + 0 -6 + -7w = -3 Add '6' to each side of the equation. -6 + 6 + -7w = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -7w = -3 + 6 -7w = -3 + 6 Combine like terms: -3 + 6 = 3 -7w = 3 Divide each side by '-7'. w = -0.4285714286 Simplifying w = -0.4285714286
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