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Simplifying 8 + 8(2w + -9) + -1(w + 1) = 0 Reorder the terms: 8 + 8(-9 + 2w) + -1(w + 1) = 0 8 + (-9 * 8 + 2w * 8) + -1(w + 1) = 0 8 + (-72 + 16w) + -1(w + 1) = 0 Reorder the terms: 8 + -72 + 16w + -1(1 + w) = 0 8 + -72 + 16w + (1 * -1 + w * -1) = 0 8 + -72 + 16w + (-1 + -1w) = 0 Reorder the terms: 8 + -72 + -1 + 16w + -1w = 0 Combine like terms: 8 + -72 = -64 -64 + -1 + 16w + -1w = 0 Combine like terms: -64 + -1 = -65 -65 + 16w + -1w = 0 Combine like terms: 16w + -1w = 15w -65 + 15w = 0 Solving -65 + 15w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 15w = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 15w = 0 + 65 15w = 0 + 65 Combine like terms: 0 + 65 = 65 15w = 65 Divide each side by '15'. w = 4.333333333 Simplifying w = 4.333333333
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