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Simplifying 7(w + -6) = 6w + -3 Reorder the terms: 7(-6 + w) = 6w + -3 (-6 * 7 + w * 7) = 6w + -3 (-42 + 7w) = 6w + -3 Reorder the terms: -42 + 7w = -3 + 6w Solving -42 + 7w = -3 + 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. -42 + 7w + -6w = -3 + 6w + -6w Combine like terms: 7w + -6w = 1w -42 + 1w = -3 + 6w + -6w Combine like terms: 6w + -6w = 0 -42 + 1w = -3 + 0 -42 + 1w = -3 Add '42' to each side of the equation. -42 + 42 + 1w = -3 + 42 Combine like terms: -42 + 42 = 0 0 + 1w = -3 + 42 1w = -3 + 42 Combine like terms: -3 + 42 = 39 1w = 39 Divide each side by '1'. w = 39 Simplifying w = 39
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