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Simplifying 12(w + 1) + 10 = 6w + -5 Reorder the terms: 12(1 + w) + 10 = 6w + -5 (1 * 12 + w * 12) + 10 = 6w + -5 (12 + 12w) + 10 = 6w + -5 Reorder the terms: 12 + 10 + 12w = 6w + -5 Combine like terms: 12 + 10 = 22 22 + 12w = 6w + -5 Reorder the terms: 22 + 12w = -5 + 6w Solving 22 + 12w = -5 + 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. 22 + 12w + -6w = -5 + 6w + -6w Combine like terms: 12w + -6w = 6w 22 + 6w = -5 + 6w + -6w Combine like terms: 6w + -6w = 0 22 + 6w = -5 + 0 22 + 6w = -5 Add '-22' to each side of the equation. 22 + -22 + 6w = -5 + -22 Combine like terms: 22 + -22 = 0 0 + 6w = -5 + -22 6w = -5 + -22 Combine like terms: -5 + -22 = -27 6w = -27 Divide each side by '6'. w = -4.5 Simplifying w = -4.5
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