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Simplifying -1(15 + 8w) + -1(4w + -6z) = 0 (15 * -1 + 8w * -1) + -1(4w + -6z) = 0 (-15 + -8w) + -1(4w + -6z) = 0 -15 + -8w + (4w * -1 + -6z * -1) = 0 -15 + -8w + (-4w + 6z) = 0 Combine like terms: -8w + -4w = -12w -15 + -12w + 6z = 0 Solving -15 + -12w + 6z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -12w + 15 + 6z = 0 + 15 Reorder the terms: -15 + 15 + -12w + 6z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -12w + 6z = 0 + 15 -12w + 6z = 0 + 15 Combine like terms: 0 + 15 = 15 -12w + 6z = 15 Add '-6z' to each side of the equation. -12w + 6z + -6z = 15 + -6z Combine like terms: 6z + -6z = 0 -12w + 0 = 15 + -6z -12w = 15 + -6z Divide each side by '-12'. w = -1.25 + 0.5z Simplifying w = -1.25 + 0.5z
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