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Simplifying 6w + -18 = 4(w + -1) Reorder the terms: -18 + 6w = 4(w + -1) Reorder the terms: -18 + 6w = 4(-1 + w) -18 + 6w = (-1 * 4 + w * 4) -18 + 6w = (-4 + 4w) Solving -18 + 6w = -4 + 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. -18 + 6w + -4w = -4 + 4w + -4w Combine like terms: 6w + -4w = 2w -18 + 2w = -4 + 4w + -4w Combine like terms: 4w + -4w = 0 -18 + 2w = -4 + 0 -18 + 2w = -4 Add '18' to each side of the equation. -18 + 18 + 2w = -4 + 18 Combine like terms: -18 + 18 = 0 0 + 2w = -4 + 18 2w = -4 + 18 Combine like terms: -4 + 18 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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