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Simplifying -2(4 + w) = 6w + 7 (4 * -2 + w * -2) = 6w + 7 (-8 + -2w) = 6w + 7 Reorder the terms: -8 + -2w = 7 + 6w Solving -8 + -2w = 7 + 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. -8 + -2w + -6w = 7 + 6w + -6w Combine like terms: -2w + -6w = -8w -8 + -8w = 7 + 6w + -6w Combine like terms: 6w + -6w = 0 -8 + -8w = 7 + 0 -8 + -8w = 7 Add '8' to each side of the equation. -8 + 8 + -8w = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -8w = 7 + 8 -8w = 7 + 8 Combine like terms: 7 + 8 = 15 -8w = 15 Divide each side by '-8'. w = -1.875 Simplifying w = -1.875
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