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Simplifying -1(14 + 5w) + -1(2w + -3z) = 0 (14 * -1 + 5w * -1) + -1(2w + -3z) = 0 (-14 + -5w) + -1(2w + -3z) = 0 -14 + -5w + (2w * -1 + -3z * -1) = 0 -14 + -5w + (-2w + 3z) = 0 Combine like terms: -5w + -2w = -7w -14 + -7w + 3z = 0 Solving -14 + -7w + 3z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -7w + 14 + 3z = 0 + 14 Reorder the terms: -14 + 14 + -7w + 3z = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -7w + 3z = 0 + 14 -7w + 3z = 0 + 14 Combine like terms: 0 + 14 = 14 -7w + 3z = 14 Add '-3z' to each side of the equation. -7w + 3z + -3z = 14 + -3z Combine like terms: 3z + -3z = 0 -7w + 0 = 14 + -3z -7w = 14 + -3z Divide each side by '-7'. w = -2 + 0.4285714286z Simplifying w = -2 + 0.4285714286z
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