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Simplifying -3(w + 7) = 6w + -48 Reorder the terms: -3(7 + w) = 6w + -48 (7 * -3 + w * -3) = 6w + -48 (-21 + -3w) = 6w + -48 Reorder the terms: -21 + -3w = -48 + 6w Solving -21 + -3w = -48 + 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. -21 + -3w + -6w = -48 + 6w + -6w Combine like terms: -3w + -6w = -9w -21 + -9w = -48 + 6w + -6w Combine like terms: 6w + -6w = 0 -21 + -9w = -48 + 0 -21 + -9w = -48 Add '21' to each side of the equation. -21 + 21 + -9w = -48 + 21 Combine like terms: -21 + 21 = 0 0 + -9w = -48 + 21 -9w = -48 + 21 Combine like terms: -48 + 21 = -27 -9w = -27 Divide each side by '-9'. w = 3 Simplifying w = 3
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