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Simplifying 8(w + -4) + 2 = 6w + -12 Reorder the terms: 8(-4 + w) + 2 = 6w + -12 (-4 * 8 + w * 8) + 2 = 6w + -12 (-32 + 8w) + 2 = 6w + -12 Reorder the terms: -32 + 2 + 8w = 6w + -12 Combine like terms: -32 + 2 = -30 -30 + 8w = 6w + -12 Reorder the terms: -30 + 8w = -12 + 6w Solving -30 + 8w = -12 + 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 + 8w + -6w = -12 + 6w + -6w Combine like terms: 8w + -6w = 2w -30 + 2w = -12 + 6w + -6w Combine like terms: 6w + -6w = 0 -30 + 2w = -12 + 0 -30 + 2w = -12 Add '30' to each side of the equation. -30 + 30 + 2w = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 2w = -12 + 30 2w = -12 + 30 Combine like terms: -12 + 30 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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