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Simplifying 4(w + -2) + -3w = 2(w + -6) Reorder the terms: 4(-2 + w) + -3w = 2(w + -6) (-2 * 4 + w * 4) + -3w = 2(w + -6) (-8 + 4w) + -3w = 2(w + -6) Combine like terms: 4w + -3w = 1w -8 + 1w = 2(w + -6) Reorder the terms: -8 + 1w = 2(-6 + w) -8 + 1w = (-6 * 2 + w * 2) -8 + 1w = (-12 + 2w) Solving -8 + 1w = -12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -8 + 1w + -2w = -12 + 2w + -2w Combine like terms: 1w + -2w = -1w -8 + -1w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 -8 + -1w = -12 + 0 -8 + -1w = -12 Add '8' to each side of the equation. -8 + 8 + -1w = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -1w = -12 + 8 -1w = -12 + 8 Combine like terms: -12 + 8 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4
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