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Simplifying -2(w + 6) + 6 = 4(w + -3) Reorder the terms: -2(6 + w) + 6 = 4(w + -3) (6 * -2 + w * -2) + 6 = 4(w + -3) (-12 + -2w) + 6 = 4(w + -3) Reorder the terms: -12 + 6 + -2w = 4(w + -3) Combine like terms: -12 + 6 = -6 -6 + -2w = 4(w + -3) Reorder the terms: -6 + -2w = 4(-3 + w) -6 + -2w = (-3 * 4 + w * 4) -6 + -2w = (-12 + 4w) Solving -6 + -2w = -12 + 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 + -2w + -4w = -12 + 4w + -4w Combine like terms: -2w + -4w = -6w -6 + -6w = -12 + 4w + -4w Combine like terms: 4w + -4w = 0 -6 + -6w = -12 + 0 -6 + -6w = -12 Add '6' to each side of the equation. -6 + 6 + -6w = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -6w = -12 + 6 -6w = -12 + 6 Combine like terms: -12 + 6 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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