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Simplifying 5w + -42 = -7(w + -6) Reorder the terms: -42 + 5w = -7(w + -6) Reorder the terms: -42 + 5w = -7(-6 + w) -42 + 5w = (-6 * -7 + w * -7) -42 + 5w = (42 + -7w) Solving -42 + 5w = 42 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -42 + 5w + 7w = 42 + -7w + 7w Combine like terms: 5w + 7w = 12w -42 + 12w = 42 + -7w + 7w Combine like terms: -7w + 7w = 0 -42 + 12w = 42 + 0 -42 + 12w = 42 Add '42' to each side of the equation. -42 + 42 + 12w = 42 + 42 Combine like terms: -42 + 42 = 0 0 + 12w = 42 + 42 12w = 42 + 42 Combine like terms: 42 + 42 = 84 12w = 84 Divide each side by '12'. w = 7 Simplifying w = 7
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