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Simplifying 6w + -24 = 4(w + -4) Reorder the terms: -24 + 6w = 4(w + -4) Reorder the terms: -24 + 6w = 4(-4 + w) -24 + 6w = (-4 * 4 + w * 4) -24 + 6w = (-16 + 4w) Solving -24 + 6w = -16 + 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. -24 + 6w + -4w = -16 + 4w + -4w Combine like terms: 6w + -4w = 2w -24 + 2w = -16 + 4w + -4w Combine like terms: 4w + -4w = 0 -24 + 2w = -16 + 0 -24 + 2w = -16 Add '24' to each side of the equation. -24 + 24 + 2w = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 2w = -16 + 24 2w = -16 + 24 Combine like terms: -16 + 24 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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