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Simplifying -6w + -44 = -2(w + 6) Reorder the terms: -44 + -6w = -2(w + 6) Reorder the terms: -44 + -6w = -2(6 + w) -44 + -6w = (6 * -2 + w * -2) -44 + -6w = (-12 + -2w) Solving -44 + -6w = -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. -44 + -6w + 2w = -12 + -2w + 2w Combine like terms: -6w + 2w = -4w -44 + -4w = -12 + -2w + 2w Combine like terms: -2w + 2w = 0 -44 + -4w = -12 + 0 -44 + -4w = -12 Add '44' to each side of the equation. -44 + 44 + -4w = -12 + 44 Combine like terms: -44 + 44 = 0 0 + -4w = -12 + 44 -4w = -12 + 44 Combine like terms: -12 + 44 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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