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Simplifying 2w + -19 = 9(w + -6) Reorder the terms: -19 + 2w = 9(w + -6) Reorder the terms: -19 + 2w = 9(-6 + w) -19 + 2w = (-6 * 9 + w * 9) -19 + 2w = (-54 + 9w) Solving -19 + 2w = -54 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -19 + 2w + -9w = -54 + 9w + -9w Combine like terms: 2w + -9w = -7w -19 + -7w = -54 + 9w + -9w Combine like terms: 9w + -9w = 0 -19 + -7w = -54 + 0 -19 + -7w = -54 Add '19' to each side of the equation. -19 + 19 + -7w = -54 + 19 Combine like terms: -19 + 19 = 0 0 + -7w = -54 + 19 -7w = -54 + 19 Combine like terms: -54 + 19 = -35 -7w = -35 Divide each side by '-7'. w = 5 Simplifying w = 5
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