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Simplifying -3w + -1(w + 10) = 22 Reorder the terms: -3w + -1(10 + w) = 22 -3w + (10 * -1 + w * -1) = 22 -3w + (-10 + -1w) = 22 Reorder the terms: -10 + -3w + -1w = 22 Combine like terms: -3w + -1w = -4w -10 + -4w = 22 Solving -10 + -4w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -4w = 22 + 10 Combine like terms: -10 + 10 = 0 0 + -4w = 22 + 10 -4w = 22 + 10 Combine like terms: 22 + 10 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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