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Simplifying 2(2w + -7) = 6w + 13 Reorder the terms: 2(-7 + 2w) = 6w + 13 (-7 * 2 + 2w * 2) = 6w + 13 (-14 + 4w) = 6w + 13 Reorder the terms: -14 + 4w = 13 + 6w Solving -14 + 4w = 13 + 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. -14 + 4w + -6w = 13 + 6w + -6w Combine like terms: 4w + -6w = -2w -14 + -2w = 13 + 6w + -6w Combine like terms: 6w + -6w = 0 -14 + -2w = 13 + 0 -14 + -2w = 13 Add '14' to each side of the equation. -14 + 14 + -2w = 13 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = 13 + 14 -2w = 13 + 14 Combine like terms: 13 + 14 = 27 -2w = 27 Divide each side by '-2'. w = -13.5 Simplifying w = -13.5
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