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Simplifying 7 + -6(w + 2) = 3(w + -4) Reorder the terms: 7 + -6(2 + w) = 3(w + -4) 7 + (2 * -6 + w * -6) = 3(w + -4) 7 + (-12 + -6w) = 3(w + -4) Combine like terms: 7 + -12 = -5 -5 + -6w = 3(w + -4) Reorder the terms: -5 + -6w = 3(-4 + w) -5 + -6w = (-4 * 3 + w * 3) -5 + -6w = (-12 + 3w) Solving -5 + -6w = -12 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -5 + -6w + -3w = -12 + 3w + -3w Combine like terms: -6w + -3w = -9w -5 + -9w = -12 + 3w + -3w Combine like terms: 3w + -3w = 0 -5 + -9w = -12 + 0 -5 + -9w = -12 Add '5' to each side of the equation. -5 + 5 + -9w = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -9w = -12 + 5 -9w = -12 + 5 Combine like terms: -12 + 5 = -7 -9w = -7 Divide each side by '-9'. w = 0.7777777778 Simplifying w = 0.7777777778
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