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Simplifying 21w + (-35) + -6w + 26w + (-42) = 48 21w + -35 + -6w + 26w + (-42) = 48 21w + -35 + -6w + 26w + -42 = 48 Reorder the terms: -35 + -42 + 21w + -6w + 26w = 48 Combine like terms: -35 + -42 = -77 -77 + 21w + -6w + 26w = 48 Combine like terms: 21w + -6w = 15w -77 + 15w + 26w = 48 Combine like terms: 15w + 26w = 41w -77 + 41w = 48 Solving -77 + 41w = 48 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + 41w = 48 + 77 Combine like terms: -77 + 77 = 0 0 + 41w = 48 + 77 41w = 48 + 77 Combine like terms: 48 + 77 = 125 41w = 125 Divide each side by '41'. w = 3.048780488 Simplifying w = 3.048780488
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