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Simplifying 6w + -1z = 6(w + 8) Reorder the terms: 6w + -1z = 6(8 + w) 6w + -1z = (8 * 6 + w * 6) 6w + -1z = (48 + 6w) Add '-6w' to each side of the equation. 6w + -6w + -1z = 48 + 6w + -6w Combine like terms: 6w + -6w = 0 0 + -1z = 48 + 6w + -6w -1z = 48 + 6w + -6w Combine like terms: 6w + -6w = 0 -1z = 48 + 0 -1z = 48 Solving -1z = 48 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '-1'. z = -48 Simplifying z = -48
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