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Simplifying 7(w + -4) = 6(w + -6) Reorder the terms: 7(-4 + w) = 6(w + -6) (-4 * 7 + w * 7) = 6(w + -6) (-28 + 7w) = 6(w + -6) Reorder the terms: -28 + 7w = 6(-6 + w) -28 + 7w = (-6 * 6 + w * 6) -28 + 7w = (-36 + 6w) Solving -28 + 7w = -36 + 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 + 7w + -6w = -36 + 6w + -6w Combine like terms: 7w + -6w = 1w -28 + 1w = -36 + 6w + -6w Combine like terms: 6w + -6w = 0 -28 + 1w = -36 + 0 -28 + 1w = -36 Add '28' to each side of the equation. -28 + 28 + 1w = -36 + 28 Combine like terms: -28 + 28 = 0 0 + 1w = -36 + 28 1w = -36 + 28 Combine like terms: -36 + 28 = -8 1w = -8 Divide each side by '1'. w = -8 Simplifying w = -8
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