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Simplifying 22(2w + -3) = 6w Reorder the terms: 22(-3 + 2w) = 6w (-3 * 22 + 2w * 22) = 6w (-66 + 44w) = 6w Solving -66 + 44w = 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. -66 + 44w + -6w = 6w + -6w Combine like terms: 44w + -6w = 38w -66 + 38w = 6w + -6w Combine like terms: 6w + -6w = 0 -66 + 38w = 0 Add '66' to each side of the equation. -66 + 66 + 38w = 0 + 66 Combine like terms: -66 + 66 = 0 0 + 38w = 0 + 66 38w = 0 + 66 Combine like terms: 0 + 66 = 66 38w = 66 Divide each side by '38'. w = 1.736842105 Simplifying w = 1.736842105
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