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Simplifying 6(z + 5) + -5z = 21 Reorder the terms: 6(5 + z) + -5z = 21 (5 * 6 + z * 6) + -5z = 21 (30 + 6z) + -5z = 21 Combine like terms: 6z + -5z = 1z 30 + 1z = 21 Solving 30 + 1z = 21 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 + 1z = 21 + -30 Combine like terms: 30 + -30 = 0 0 + 1z = 21 + -30 1z = 21 + -30 Combine like terms: 21 + -30 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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