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Simplifying 3(w + -6) + -7w = -22 Reorder the terms: 3(-6 + w) + -7w = -22 (-6 * 3 + w * 3) + -7w = -22 (-18 + 3w) + -7w = -22 Combine like terms: 3w + -7w = -4w -18 + -4w = -22 Solving -18 + -4w = -22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -4w = -22 + 18 Combine like terms: -18 + 18 = 0 0 + -4w = -22 + 18 -4w = -22 + 18 Combine like terms: -22 + 18 = -4 -4w = -4 Divide each side by '-4'. w = 1 Simplifying w = 1
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