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Simplifying 14 + -4(-10w + -8) = 20w + -18 + 12w Reorder the terms: 14 + -4(-8 + -10w) = 20w + -18 + 12w 14 + (-8 * -4 + -10w * -4) = 20w + -18 + 12w 14 + (32 + 40w) = 20w + -18 + 12w Combine like terms: 14 + 32 = 46 46 + 40w = 20w + -18 + 12w Reorder the terms: 46 + 40w = -18 + 20w + 12w Combine like terms: 20w + 12w = 32w 46 + 40w = -18 + 32w Solving 46 + 40w = -18 + 32w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32w' to each side of the equation. 46 + 40w + -32w = -18 + 32w + -32w Combine like terms: 40w + -32w = 8w 46 + 8w = -18 + 32w + -32w Combine like terms: 32w + -32w = 0 46 + 8w = -18 + 0 46 + 8w = -18 Add '-46' to each side of the equation. 46 + -46 + 8w = -18 + -46 Combine like terms: 46 + -46 = 0 0 + 8w = -18 + -46 8w = -18 + -46 Combine like terms: -18 + -46 = -64 8w = -64 Divide each side by '8'. w = -8 Simplifying w = -8
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