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Simplifying 6z + -3(10 + 3z) = 6 6z + (10 * -3 + 3z * -3) = 6 6z + (-30 + -9z) = 6 Reorder the terms: -30 + 6z + -9z = 6 Combine like terms: 6z + -9z = -3z -30 + -3z = 6 Solving -30 + -3z = 6 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 = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -3z = 6 + 30 -3z = 6 + 30 Combine like terms: 6 + 30 = 36 -3z = 36 Divide each side by '-3'. z = -12 Simplifying z = -12
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