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Simplifying -9(w + 7) = 6w + 42 Reorder the terms: -9(7 + w) = 6w + 42 (7 * -9 + w * -9) = 6w + 42 (-63 + -9w) = 6w + 42 Reorder the terms: -63 + -9w = 42 + 6w Solving -63 + -9w = 42 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -63 + -9w + -6w = 42 + 6w + -6w Combine like terms: -9w + -6w = -15w -63 + -15w = 42 + 6w + -6w Combine like terms: 6w + -6w = 0 -63 + -15w = 42 + 0 -63 + -15w = 42 Add '63' to each side of the equation. -63 + 63 + -15w = 42 + 63 Combine like terms: -63 + 63 = 0 0 + -15w = 42 + 63 -15w = 42 + 63 Combine like terms: 42 + 63 = 105 -15w = 105 Divide each side by '-15'. w = -7 Simplifying w = -7
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