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Simplifying 4(w + -4) + 6 = 2w + -18 Reorder the terms: 4(-4 + w) + 6 = 2w + -18 (-4 * 4 + w * 4) + 6 = 2w + -18 (-16 + 4w) + 6 = 2w + -18 Reorder the terms: -16 + 6 + 4w = 2w + -18 Combine like terms: -16 + 6 = -10 -10 + 4w = 2w + -18 Reorder the terms: -10 + 4w = -18 + 2w Solving -10 + 4w = -18 + 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. -10 + 4w + -2w = -18 + 2w + -2w Combine like terms: 4w + -2w = 2w -10 + 2w = -18 + 2w + -2w Combine like terms: 2w + -2w = 0 -10 + 2w = -18 + 0 -10 + 2w = -18 Add '10' to each side of the equation. -10 + 10 + 2w = -18 + 10 Combine like terms: -10 + 10 = 0 0 + 2w = -18 + 10 2w = -18 + 10 Combine like terms: -18 + 10 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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