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Simplifying -30 = -6w + 2(w + -7) Reorder the terms: -30 = -6w + 2(-7 + w) -30 = -6w + (-7 * 2 + w * 2) -30 = -6w + (-14 + 2w) Reorder the terms: -30 = -14 + -6w + 2w Combine like terms: -6w + 2w = -4w -30 = -14 + -4w Solving -30 = -14 + -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. -30 + 4w = -14 + -4w + 4w Combine like terms: -4w + 4w = 0 -30 + 4w = -14 + 0 -30 + 4w = -14 Add '30' to each side of the equation. -30 + 30 + 4w = -14 + 30 Combine like terms: -30 + 30 = 0 0 + 4w = -14 + 30 4w = -14 + 30 Combine like terms: -14 + 30 = 16 4w = 16 Divide each side by '4'. w = 4 Simplifying w = 4
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