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Simplifying 44 = 8(2w + -2) + -10w + -30 Reorder the terms: 44 = 8(-2 + 2w) + -10w + -30 44 = (-2 * 8 + 2w * 8) + -10w + -30 44 = (-16 + 16w) + -10w + -30 Reorder the terms: 44 = -16 + -30 + 16w + -10w Combine like terms: -16 + -30 = -46 44 = -46 + 16w + -10w Combine like terms: 16w + -10w = 6w 44 = -46 + 6w Solving 44 = -46 + 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. 44 + -6w = -46 + 6w + -6w Combine like terms: 6w + -6w = 0 44 + -6w = -46 + 0 44 + -6w = -46 Add '-44' to each side of the equation. 44 + -44 + -6w = -46 + -44 Combine like terms: 44 + -44 = 0 0 + -6w = -46 + -44 -6w = -46 + -44 Combine like terms: -46 + -44 = -90 -6w = -90 Divide each side by '-6'. w = 15 Simplifying w = 15
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