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Simplifying -5(z + 6) = z Reorder the terms: -5(6 + z) = z (6 * -5 + z * -5) = z (-30 + -5z) = z Solving -30 + -5z = z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -30 + -5z + -1z = z + -1z Combine like terms: -5z + -1z = -6z -30 + -6z = z + -1z Combine like terms: z + -1z = 0 -30 + -6z = 0 Add '30' to each side of the equation. -30 + 30 + -6z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -6z = 0 + 30 -6z = 0 + 30 Combine like terms: 0 + 30 = 30 -6z = 30 Divide each side by '-6'. z = -5 Simplifying z = -5
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