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Simplifying 6w + -14 = 2(4w + 14) Reorder the terms: -14 + 6w = 2(4w + 14) Reorder the terms: -14 + 6w = 2(14 + 4w) -14 + 6w = (14 * 2 + 4w * 2) -14 + 6w = (28 + 8w) Solving -14 + 6w = 28 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -14 + 6w + -8w = 28 + 8w + -8w Combine like terms: 6w + -8w = -2w -14 + -2w = 28 + 8w + -8w Combine like terms: 8w + -8w = 0 -14 + -2w = 28 + 0 -14 + -2w = 28 Add '14' to each side of the equation. -14 + 14 + -2w = 28 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = 28 + 14 -2w = 28 + 14 Combine like terms: 28 + 14 = 42 -2w = 42 Divide each side by '-2'. w = -21 Simplifying w = -21
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