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Simplifying -6(w + 7) = 4w + 48 Reorder the terms: -6(7 + w) = 4w + 48 (7 * -6 + w * -6) = 4w + 48 (-42 + -6w) = 4w + 48 Reorder the terms: -42 + -6w = 48 + 4w Solving -42 + -6w = 48 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -42 + -6w + -4w = 48 + 4w + -4w Combine like terms: -6w + -4w = -10w -42 + -10w = 48 + 4w + -4w Combine like terms: 4w + -4w = 0 -42 + -10w = 48 + 0 -42 + -10w = 48 Add '42' to each side of the equation. -42 + 42 + -10w = 48 + 42 Combine like terms: -42 + 42 = 0 0 + -10w = 48 + 42 -10w = 48 + 42 Combine like terms: 48 + 42 = 90 -10w = 90 Divide each side by '-10'. w = -9 Simplifying w = -9
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