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Simplifying 4(w + -2) + -5(w + 1) = w + -1 Reorder the terms: 4(-2 + w) + -5(w + 1) = w + -1 (-2 * 4 + w * 4) + -5(w + 1) = w + -1 (-8 + 4w) + -5(w + 1) = w + -1 Reorder the terms: -8 + 4w + -5(1 + w) = w + -1 -8 + 4w + (1 * -5 + w * -5) = w + -1 -8 + 4w + (-5 + -5w) = w + -1 Reorder the terms: -8 + -5 + 4w + -5w = w + -1 Combine like terms: -8 + -5 = -13 -13 + 4w + -5w = w + -1 Combine like terms: 4w + -5w = -1w -13 + -1w = w + -1 Reorder the terms: -13 + -1w = -1 + w Solving -13 + -1w = -1 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -13 + -1w + -1w = -1 + w + -1w Combine like terms: -1w + -1w = -2w -13 + -2w = -1 + w + -1w Combine like terms: w + -1w = 0 -13 + -2w = -1 + 0 -13 + -2w = -1 Add '13' to each side of the equation. -13 + 13 + -2w = -1 + 13 Combine like terms: -13 + 13 = 0 0 + -2w = -1 + 13 -2w = -1 + 13 Combine like terms: -1 + 13 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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