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Simplifying 1w + 9 + 4 = (1w + -4) + 5w + -2 Reorder the terms: 9 + 4 + 1w = (1w + -4) + 5w + -2 Combine like terms: 9 + 4 = 13 13 + 1w = (1w + -4) + 5w + -2 Reorder the terms: 13 + 1w = (-4 + 1w) + 5w + -2 Remove parenthesis around (-4 + 1w) 13 + 1w = -4 + 1w + 5w + -2 Reorder the terms: 13 + 1w = -4 + -2 + 1w + 5w Combine like terms: -4 + -2 = -6 13 + 1w = -6 + 1w + 5w Combine like terms: 1w + 5w = 6w 13 + 1w = -6 + 6w Solving 13 + 1w = -6 + 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. 13 + 1w + -6w = -6 + 6w + -6w Combine like terms: 1w + -6w = -5w 13 + -5w = -6 + 6w + -6w Combine like terms: 6w + -6w = 0 13 + -5w = -6 + 0 13 + -5w = -6 Add '-13' to each side of the equation. 13 + -13 + -5w = -6 + -13 Combine like terms: 13 + -13 = 0 0 + -5w = -6 + -13 -5w = -6 + -13 Combine like terms: -6 + -13 = -19 -5w = -19 Divide each side by '-5'. w = 3.8 Simplifying w = 3.8
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