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Simplifying -1(18 + 7w) + -1(9w + -2z) = 0 (18 * -1 + 7w * -1) + -1(9w + -2z) = 0 (-18 + -7w) + -1(9w + -2z) = 0 -18 + -7w + (9w * -1 + -2z * -1) = 0 -18 + -7w + (-9w + 2z) = 0 Combine like terms: -7w + -9w = -16w -18 + -16w + 2z = 0 Solving -18 + -16w + 2z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -16w + 18 + 2z = 0 + 18 Reorder the terms: -18 + 18 + -16w + 2z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -16w + 2z = 0 + 18 -16w + 2z = 0 + 18 Combine like terms: 0 + 18 = 18 -16w + 2z = 18 Add '-2z' to each side of the equation. -16w + 2z + -2z = 18 + -2z Combine like terms: 2z + -2z = 0 -16w + 0 = 18 + -2z -16w = 18 + -2z Divide each side by '-16'. w = -1.125 + 0.125z Simplifying w = -1.125 + 0.125z
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