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Simplifying -4(2w + 1) = -28 + -6w Reorder the terms: -4(1 + 2w) = -28 + -6w (1 * -4 + 2w * -4) = -28 + -6w (-4 + -8w) = -28 + -6w Solving -4 + -8w = -28 + -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. -4 + -8w + 6w = -28 + -6w + 6w Combine like terms: -8w + 6w = -2w -4 + -2w = -28 + -6w + 6w Combine like terms: -6w + 6w = 0 -4 + -2w = -28 + 0 -4 + -2w = -28 Add '4' to each side of the equation. -4 + 4 + -2w = -28 + 4 Combine like terms: -4 + 4 = 0 0 + -2w = -28 + 4 -2w = -28 + 4 Combine like terms: -28 + 4 = -24 -2w = -24 Divide each side by '-2'. w = 12 Simplifying w = 12
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