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Simplifying 7(-5z + 6) + 32 = 0 Reorder the terms: 7(6 + -5z) + 32 = 0 (6 * 7 + -5z * 7) + 32 = 0 (42 + -35z) + 32 = 0 Reorder the terms: 42 + 32 + -35z = 0 Combine like terms: 42 + 32 = 74 74 + -35z = 0 Solving 74 + -35z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + -35z = 0 + -74 Combine like terms: 74 + -74 = 0 0 + -35z = 0 + -74 -35z = 0 + -74 Combine like terms: 0 + -74 = -74 -35z = -74 Divide each side by '-35'. z = 2.114285714 Simplifying z = 2.114285714
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