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Simplifying -5(w + 2) + (3y + -1w) = 0 Reorder the terms: -5(2 + w) + (3y + -1w) = 0 (2 * -5 + w * -5) + (3y + -1w) = 0 (-10 + -5w) + (3y + -1w) = 0 Reorder the terms: -10 + -5w + (-1w + 3y) = 0 Remove parenthesis around (-1w + 3y) -10 + -5w + -1w + 3y = 0 Combine like terms: -5w + -1w = -6w -10 + -6w + 3y = 0 Solving -10 + -6w + 3y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -6w + 10 + 3y = 0 + 10 Reorder the terms: -10 + 10 + -6w + 3y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -6w + 3y = 0 + 10 -6w + 3y = 0 + 10 Combine like terms: 0 + 10 = 10 -6w + 3y = 10 Add '-3y' to each side of the equation. -6w + 3y + -3y = 10 + -3y Combine like terms: 3y + -3y = 0 -6w + 0 = 10 + -3y -6w = 10 + -3y Divide each side by '-6'. w = -1.666666667 + 0.5y Simplifying w = -1.666666667 + 0.5y
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