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Simplifying -4(w + 7) = 6w + 12 Reorder the terms: -4(7 + w) = 6w + 12 (7 * -4 + w * -4) = 6w + 12 (-28 + -4w) = 6w + 12 Reorder the terms: -28 + -4w = 12 + 6w Solving -28 + -4w = 12 + 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 = 12 + 6w + -6w Combine like terms: -4w + -6w = -10w -28 + -10w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 -28 + -10w = 12 + 0 -28 + -10w = 12 Add '28' to each side of the equation. -28 + 28 + -10w = 12 + 28 Combine like terms: -28 + 28 = 0 0 + -10w = 12 + 28 -10w = 12 + 28 Combine like terms: 12 + 28 = 40 -10w = 40 Divide each side by '-10'. w = -4 Simplifying w = -4
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