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Simplifying -7(3w + -4) = 7(3w + 7) Reorder the terms: -7(-4 + 3w) = 7(3w + 7) (-4 * -7 + 3w * -7) = 7(3w + 7) (28 + -21w) = 7(3w + 7) Reorder the terms: 28 + -21w = 7(7 + 3w) 28 + -21w = (7 * 7 + 3w * 7) 28 + -21w = (49 + 21w) Solving 28 + -21w = 49 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. 28 + -21w + -21w = 49 + 21w + -21w Combine like terms: -21w + -21w = -42w 28 + -42w = 49 + 21w + -21w Combine like terms: 21w + -21w = 0 28 + -42w = 49 + 0 28 + -42w = 49 Add '-28' to each side of the equation. 28 + -28 + -42w = 49 + -28 Combine like terms: 28 + -28 = 0 0 + -42w = 49 + -28 -42w = 49 + -28 Combine like terms: 49 + -28 = 21 -42w = 21 Divide each side by '-42'. w = -0.5 Simplifying w = -0.5
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