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Simplifying -2w + 10 = 6(w + -9) Reorder the terms: 10 + -2w = 6(w + -9) Reorder the terms: 10 + -2w = 6(-9 + w) 10 + -2w = (-9 * 6 + w * 6) 10 + -2w = (-54 + 6w) Solving 10 + -2w = -54 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 10 + -2w + -6w = -54 + 6w + -6w Combine like terms: -2w + -6w = -8w 10 + -8w = -54 + 6w + -6w Combine like terms: 6w + -6w = 0 10 + -8w = -54 + 0 10 + -8w = -54 Add '-10' to each side of the equation. 10 + -10 + -8w = -54 + -10 Combine like terms: 10 + -10 = 0 0 + -8w = -54 + -10 -8w = -54 + -10 Combine like terms: -54 + -10 = -64 -8w = -64 Divide each side by '-8'. w = 8 Simplifying w = 8
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