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Simplifying 6(3w + 5) = 210w + 10 Reorder the terms: 6(5 + 3w) = 210w + 10 (5 * 6 + 3w * 6) = 210w + 10 (30 + 18w) = 210w + 10 Reorder the terms: 30 + 18w = 10 + 210w Solving 30 + 18w = 10 + 210w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-210w' to each side of the equation. 30 + 18w + -210w = 10 + 210w + -210w Combine like terms: 18w + -210w = -192w 30 + -192w = 10 + 210w + -210w Combine like terms: 210w + -210w = 0 30 + -192w = 10 + 0 30 + -192w = 10 Add '-30' to each side of the equation. 30 + -30 + -192w = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -192w = 10 + -30 -192w = 10 + -30 Combine like terms: 10 + -30 = -20 -192w = -20 Divide each side by '-192'. w = 0.1041666667 Simplifying w = 0.1041666667
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