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Simplifying 10z + -9 = -5(z + 6) + 21 Reorder the terms: -9 + 10z = -5(z + 6) + 21 Reorder the terms: -9 + 10z = -5(6 + z) + 21 -9 + 10z = (6 * -5 + z * -5) + 21 -9 + 10z = (-30 + -5z) + 21 Reorder the terms: -9 + 10z = -30 + 21 + -5z Combine like terms: -30 + 21 = -9 -9 + 10z = -9 + -5z Add '9' to each side of the equation. -9 + 9 + 10z = -9 + 9 + -5z Combine like terms: -9 + 9 = 0 0 + 10z = -9 + 9 + -5z 10z = -9 + 9 + -5z Combine like terms: -9 + 9 = 0 10z = 0 + -5z 10z = -5z Solving 10z = -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 10z + 5z = -5z + 5z Combine like terms: 10z + 5z = 15z 15z = -5z + 5z Combine like terms: -5z + 5z = 0 15z = 0 Divide each side by '15'. z = 0 Simplifying z = 0
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