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Simplifying 4w + -2 = 6(w + 1) Reorder the terms: -2 + 4w = 6(w + 1) Reorder the terms: -2 + 4w = 6(1 + w) -2 + 4w = (1 * 6 + w * 6) -2 + 4w = (6 + 6w) Solving -2 + 4w = 6 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -2 + 4w + -6w = 6 + 6w + -6w Combine like terms: 4w + -6w = -2w -2 + -2w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 -2 + -2w = 6 + 0 -2 + -2w = 6 Add '2' to each side of the equation. -2 + 2 + -2w = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -2w = 6 + 2 -2w = 6 + 2 Combine like terms: 6 + 2 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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