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Simplifying 4w + -28 = -6(w + 8) Reorder the terms: -28 + 4w = -6(w + 8) Reorder the terms: -28 + 4w = -6(8 + w) -28 + 4w = (8 * -6 + w * -6) -28 + 4w = (-48 + -6w) Solving -28 + 4w = -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. -28 + 4w + 6w = -48 + -6w + 6w Combine like terms: 4w + 6w = 10w -28 + 10w = -48 + -6w + 6w Combine like terms: -6w + 6w = 0 -28 + 10w = -48 + 0 -28 + 10w = -48 Add '28' to each side of the equation. -28 + 28 + 10w = -48 + 28 Combine like terms: -28 + 28 = 0 0 + 10w = -48 + 28 10w = -48 + 28 Combine like terms: -48 + 28 = -20 10w = -20 Divide each side by '10'. w = -2 Simplifying w = -2
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