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Simplifying -3(2w + -5) = 5(3w + 1) Reorder the terms: -3(-5 + 2w) = 5(3w + 1) (-5 * -3 + 2w * -3) = 5(3w + 1) (15 + -6w) = 5(3w + 1) Reorder the terms: 15 + -6w = 5(1 + 3w) 15 + -6w = (1 * 5 + 3w * 5) 15 + -6w = (5 + 15w) Solving 15 + -6w = 5 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 15 + -6w + -15w = 5 + 15w + -15w Combine like terms: -6w + -15w = -21w 15 + -21w = 5 + 15w + -15w Combine like terms: 15w + -15w = 0 15 + -21w = 5 + 0 15 + -21w = 5 Add '-15' to each side of the equation. 15 + -15 + -21w = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -21w = 5 + -15 -21w = 5 + -15 Combine like terms: 5 + -15 = -10 -21w = -10 Divide each side by '-21'. w = 0.4761904762 Simplifying w = 0.4761904762
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