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Simplifying 4(w + -4) + -6w = -12 Reorder the terms: 4(-4 + w) + -6w = -12 (-4 * 4 + w * 4) + -6w = -12 (-16 + 4w) + -6w = -12 Combine like terms: 4w + -6w = -2w -16 + -2w = -12 Solving -16 + -2w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -2w = -12 + 16 Combine like terms: -16 + 16 = 0 0 + -2w = -12 + 16 -2w = -12 + 16 Combine like terms: -12 + 16 = 4 -2w = 4 Divide each side by '-2'. w = -2 Simplifying w = -2
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