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Simplifying 10(-5 + -2w) + 2(w + -4) = 0 (-5 * 10 + -2w * 10) + 2(w + -4) = 0 (-50 + -20w) + 2(w + -4) = 0 Reorder the terms: -50 + -20w + 2(-4 + w) = 0 -50 + -20w + (-4 * 2 + w * 2) = 0 -50 + -20w + (-8 + 2w) = 0 Reorder the terms: -50 + -8 + -20w + 2w = 0 Combine like terms: -50 + -8 = -58 -58 + -20w + 2w = 0 Combine like terms: -20w + 2w = -18w -58 + -18w = 0 Solving -58 + -18w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + -18w = 0 + 58 Combine like terms: -58 + 58 = 0 0 + -18w = 0 + 58 -18w = 0 + 58 Combine like terms: 0 + 58 = 58 -18w = 58 Divide each side by '-18'. w = -3.222222222 Simplifying w = -3.222222222
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