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Simplifying 2(w + -4) = 6w + -36 Reorder the terms: 2(-4 + w) = 6w + -36 (-4 * 2 + w * 2) = 6w + -36 (-8 + 2w) = 6w + -36 Reorder the terms: -8 + 2w = -36 + 6w Solving -8 + 2w = -36 + 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 = -36 + 6w + -6w Combine like terms: 2w + -6w = -4w -8 + -4w = -36 + 6w + -6w Combine like terms: 6w + -6w = 0 -8 + -4w = -36 + 0 -8 + -4w = -36 Add '8' to each side of the equation. -8 + 8 + -4w = -36 + 8 Combine like terms: -8 + 8 = 0 0 + -4w = -36 + 8 -4w = -36 + 8 Combine like terms: -36 + 8 = -28 -4w = -28 Divide each side by '-4'. w = 7 Simplifying w = 7
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