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Simplifying -1(-6z + 3) = z + -3 Reorder the terms: -1(3 + -6z) = z + -3 (3 * -1 + -6z * -1) = z + -3 (-3 + 6z) = z + -3 Reorder the terms: -3 + 6z = -3 + z Add '3' to each side of the equation. -3 + 3 + 6z = -3 + 3 + z Combine like terms: -3 + 3 = 0 0 + 6z = -3 + 3 + z 6z = -3 + 3 + z Combine like terms: -3 + 3 = 0 6z = 0 + z 6z = z Solving 6z = 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. 6z + -1z = z + -1z Combine like terms: 6z + -1z = 5z 5z = z + -1z Combine like terms: z + -1z = 0 5z = 0 Divide each side by '5'. z = 0 Simplifying z = 0
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