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Simplifying 2(w + -4) + 5 = 6w + -11 Reorder the terms: 2(-4 + w) + 5 = 6w + -11 (-4 * 2 + w * 2) + 5 = 6w + -11 (-8 + 2w) + 5 = 6w + -11 Reorder the terms: -8 + 5 + 2w = 6w + -11 Combine like terms: -8 + 5 = -3 -3 + 2w = 6w + -11 Reorder the terms: -3 + 2w = -11 + 6w Solving -3 + 2w = -11 + 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. -3 + 2w + -6w = -11 + 6w + -6w Combine like terms: 2w + -6w = -4w -3 + -4w = -11 + 6w + -6w Combine like terms: 6w + -6w = 0 -3 + -4w = -11 + 0 -3 + -4w = -11 Add '3' to each side of the equation. -3 + 3 + -4w = -11 + 3 Combine like terms: -3 + 3 = 0 0 + -4w = -11 + 3 -4w = -11 + 3 Combine like terms: -11 + 3 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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