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Simplifying -6w + -44 = 4(w + -6) Reorder the terms: -44 + -6w = 4(w + -6) Reorder the terms: -44 + -6w = 4(-6 + w) -44 + -6w = (-6 * 4 + w * 4) -44 + -6w = (-24 + 4w) Solving -44 + -6w = -24 + 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. -44 + -6w + -4w = -24 + 4w + -4w Combine like terms: -6w + -4w = -10w -44 + -10w = -24 + 4w + -4w Combine like terms: 4w + -4w = 0 -44 + -10w = -24 + 0 -44 + -10w = -24 Add '44' to each side of the equation. -44 + 44 + -10w = -24 + 44 Combine like terms: -44 + 44 = 0 0 + -10w = -24 + 44 -10w = -24 + 44 Combine like terms: -24 + 44 = 20 -10w = 20 Divide each side by '-10'. w = -2 Simplifying w = -2
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