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Simplifying -3w + 48 = -7(w + -4) Reorder the terms: 48 + -3w = -7(w + -4) Reorder the terms: 48 + -3w = -7(-4 + w) 48 + -3w = (-4 * -7 + w * -7) 48 + -3w = (28 + -7w) Solving 48 + -3w = 28 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 48 + -3w + 7w = 28 + -7w + 7w Combine like terms: -3w + 7w = 4w 48 + 4w = 28 + -7w + 7w Combine like terms: -7w + 7w = 0 48 + 4w = 28 + 0 48 + 4w = 28 Add '-48' to each side of the equation. 48 + -48 + 4w = 28 + -48 Combine like terms: 48 + -48 = 0 0 + 4w = 28 + -48 4w = 28 + -48 Combine like terms: 28 + -48 = -20 4w = -20 Divide each side by '4'. w = -5 Simplifying w = -5
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