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Simplifying 7w + -34 = -2(2 + -6w) Reorder the terms: -34 + 7w = -2(2 + -6w) -34 + 7w = (2 * -2 + -6w * -2) -34 + 7w = (-4 + 12w) Solving -34 + 7w = -4 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -34 + 7w + -12w = -4 + 12w + -12w Combine like terms: 7w + -12w = -5w -34 + -5w = -4 + 12w + -12w Combine like terms: 12w + -12w = 0 -34 + -5w = -4 + 0 -34 + -5w = -4 Add '34' to each side of the equation. -34 + 34 + -5w = -4 + 34 Combine like terms: -34 + 34 = 0 0 + -5w = -4 + 34 -5w = -4 + 34 Combine like terms: -4 + 34 = 30 -5w = 30 Divide each side by '-5'. w = -6 Simplifying w = -6
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