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Simplifying -1(14 + 6w) + -1(4w + -8z) = 0 (14 * -1 + 6w * -1) + -1(4w + -8z) = 0 (-14 + -6w) + -1(4w + -8z) = 0 -14 + -6w + (4w * -1 + -8z * -1) = 0 -14 + -6w + (-4w + 8z) = 0 Combine like terms: -6w + -4w = -10w -14 + -10w + 8z = 0 Solving -14 + -10w + 8z = 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 + -10w + 14 + 8z = 0 + 14 Reorder the terms: -14 + 14 + -10w + 8z = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -10w + 8z = 0 + 14 -10w + 8z = 0 + 14 Combine like terms: 0 + 14 = 14 -10w + 8z = 14 Add '-8z' to each side of the equation. -10w + 8z + -8z = 14 + -8z Combine like terms: 8z + -8z = 0 -10w + 0 = 14 + -8z -10w = 14 + -8z Divide each side by '-10'. w = -1.4 + 0.8z Simplifying w = -1.4 + 0.8z
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