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Simplifying 6(w + -5) + -3 = w + 10 Reorder the terms: 6(-5 + w) + -3 = w + 10 (-5 * 6 + w * 6) + -3 = w + 10 (-30 + 6w) + -3 = w + 10 Reorder the terms: -30 + -3 + 6w = w + 10 Combine like terms: -30 + -3 = -33 -33 + 6w = w + 10 Reorder the terms: -33 + 6w = 10 + w Solving -33 + 6w = 10 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -33 + 6w + -1w = 10 + w + -1w Combine like terms: 6w + -1w = 5w -33 + 5w = 10 + w + -1w Combine like terms: w + -1w = 0 -33 + 5w = 10 + 0 -33 + 5w = 10 Add '33' to each side of the equation. -33 + 33 + 5w = 10 + 33 Combine like terms: -33 + 33 = 0 0 + 5w = 10 + 33 5w = 10 + 33 Combine like terms: 10 + 33 = 43 5w = 43 Divide each side by '5'. w = 8.6 Simplifying w = 8.6
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