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Simplifying 2(w + -7) + -6w = 18 Reorder the terms: 2(-7 + w) + -6w = 18 (-7 * 2 + w * 2) + -6w = 18 (-14 + 2w) + -6w = 18 Combine like terms: 2w + -6w = -4w -14 + -4w = 18 Solving -14 + -4w = 18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -4w = 18 + 14 Combine like terms: -14 + 14 = 0 0 + -4w = 18 + 14 -4w = 18 + 14 Combine like terms: 18 + 14 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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