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Simplifying 2(w + -3) + -5w = 3w + 10 Reorder the terms: 2(-3 + w) + -5w = 3w + 10 (-3 * 2 + w * 2) + -5w = 3w + 10 (-6 + 2w) + -5w = 3w + 10 Combine like terms: 2w + -5w = -3w -6 + -3w = 3w + 10 Reorder the terms: -6 + -3w = 10 + 3w Solving -6 + -3w = 10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -6 + -3w + -3w = 10 + 3w + -3w Combine like terms: -3w + -3w = -6w -6 + -6w = 10 + 3w + -3w Combine like terms: 3w + -3w = 0 -6 + -6w = 10 + 0 -6 + -6w = 10 Add '6' to each side of the equation. -6 + 6 + -6w = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -6w = 10 + 6 -6w = 10 + 6 Combine like terms: 10 + 6 = 16 -6w = 16 Divide each side by '-6'. w = -2.666666667 Simplifying w = -2.666666667
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