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Simplifying 99 = 6(w + 8) + 3 Reorder the terms: 99 = 6(8 + w) + 3 99 = (8 * 6 + w * 6) + 3 99 = (48 + 6w) + 3 Reorder the terms: 99 = 48 + 3 + 6w Combine like terms: 48 + 3 = 51 99 = 51 + 6w Solving 99 = 51 + 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. 99 + -6w = 51 + 6w + -6w Combine like terms: 6w + -6w = 0 99 + -6w = 51 + 0 99 + -6w = 51 Add '-99' to each side of the equation. 99 + -99 + -6w = 51 + -99 Combine like terms: 99 + -99 = 0 0 + -6w = 51 + -99 -6w = 51 + -99 Combine like terms: 51 + -99 = -48 -6w = -48 Divide each side by '-6'. w = 8 Simplifying w = 8
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