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Simplifying 5(6 + -3w) = 2w + -6 (6 * 5 + -3w * 5) = 2w + -6 (30 + -15w) = 2w + -6 Reorder the terms: 30 + -15w = -6 + 2w Solving 30 + -15w = -6 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 30 + -15w + -2w = -6 + 2w + -2w Combine like terms: -15w + -2w = -17w 30 + -17w = -6 + 2w + -2w Combine like terms: 2w + -2w = 0 30 + -17w = -6 + 0 30 + -17w = -6 Add '-30' to each side of the equation. 30 + -30 + -17w = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -17w = -6 + -30 -17w = -6 + -30 Combine like terms: -6 + -30 = -36 -17w = -36 Divide each side by '-17'. w = 2.117647059 Simplifying w = 2.117647059
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