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Simplifying -6(z + 5) + 3z = 0 Reorder the terms: -6(5 + z) + 3z = 0 (5 * -6 + z * -6) + 3z = 0 (-30 + -6z) + 3z = 0 Combine like terms: -6z + 3z = -3z -30 + -3z = 0 Solving -30 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -3z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -3z = 0 + 30 -3z = 0 + 30 Combine like terms: 0 + 30 = 30 -3z = 30 Divide each side by '-3'. z = -10 Simplifying z = -10
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