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Simplifying -7(w + 3) = 2w + 42 Reorder the terms: -7(3 + w) = 2w + 42 (3 * -7 + w * -7) = 2w + 42 (-21 + -7w) = 2w + 42 Reorder the terms: -21 + -7w = 42 + 2w Solving -21 + -7w = 42 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -21 + -7w + -2w = 42 + 2w + -2w Combine like terms: -7w + -2w = -9w -21 + -9w = 42 + 2w + -2w Combine like terms: 2w + -2w = 0 -21 + -9w = 42 + 0 -21 + -9w = 42 Add '21' to each side of the equation. -21 + 21 + -9w = 42 + 21 Combine like terms: -21 + 21 = 0 0 + -9w = 42 + 21 -9w = 42 + 21 Combine like terms: 42 + 21 = 63 -9w = 63 Divide each side by '-9'. w = -7 Simplifying w = -7
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