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Simplifying -6(w + 5) = 6w + -42 Reorder the terms: -6(5 + w) = 6w + -42 (5 * -6 + w * -6) = 6w + -42 (-30 + -6w) = 6w + -42 Reorder the terms: -30 + -6w = -42 + 6w Solving -30 + -6w = -42 + 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. -30 + -6w + -6w = -42 + 6w + -6w Combine like terms: -6w + -6w = -12w -30 + -12w = -42 + 6w + -6w Combine like terms: 6w + -6w = 0 -30 + -12w = -42 + 0 -30 + -12w = -42 Add '30' to each side of the equation. -30 + 30 + -12w = -42 + 30 Combine like terms: -30 + 30 = 0 0 + -12w = -42 + 30 -12w = -42 + 30 Combine like terms: -42 + 30 = -12 -12w = -12 Divide each side by '-12'. w = 1 Simplifying w = 1
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