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Simplifying 6(z + -7) = 6 Reorder the terms: 6(-7 + z) = 6 (-7 * 6 + z * 6) = 6 (-42 + 6z) = 6 Solving -42 + 6z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 6z = 6 + 42 Combine like terms: -42 + 42 = 0 0 + 6z = 6 + 42 6z = 6 + 42 Combine like terms: 6 + 42 = 48 6z = 48 Divide each side by '6'. z = 8 Simplifying z = 8
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