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Simplifying -6(w + 9) = 2w + 10 Reorder the terms: -6(9 + w) = 2w + 10 (9 * -6 + w * -6) = 2w + 10 (-54 + -6w) = 2w + 10 Reorder the terms: -54 + -6w = 10 + 2w Solving -54 + -6w = 10 + 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. -54 + -6w + -2w = 10 + 2w + -2w Combine like terms: -6w + -2w = -8w -54 + -8w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 -54 + -8w = 10 + 0 -54 + -8w = 10 Add '54' to each side of the equation. -54 + 54 + -8w = 10 + 54 Combine like terms: -54 + 54 = 0 0 + -8w = 10 + 54 -8w = 10 + 54 Combine like terms: 10 + 54 = 64 -8w = 64 Divide each side by '-8'. w = -8 Simplifying w = -8
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