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Simplifying -3(w + 7) = 3w + -45 Reorder the terms: -3(7 + w) = 3w + -45 (7 * -3 + w * -3) = 3w + -45 (-21 + -3w) = 3w + -45 Reorder the terms: -21 + -3w = -45 + 3w Solving -21 + -3w = -45 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -21 + -3w + -3w = -45 + 3w + -3w Combine like terms: -3w + -3w = -6w -21 + -6w = -45 + 3w + -3w Combine like terms: 3w + -3w = 0 -21 + -6w = -45 + 0 -21 + -6w = -45 Add '21' to each side of the equation. -21 + 21 + -6w = -45 + 21 Combine like terms: -21 + 21 = 0 0 + -6w = -45 + 21 -6w = -45 + 21 Combine like terms: -45 + 21 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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