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Simplifying -9(z + 3) + -5(2z + 10) = 0 Reorder the terms: -9(3 + z) + -5(2z + 10) = 0 (3 * -9 + z * -9) + -5(2z + 10) = 0 (-27 + -9z) + -5(2z + 10) = 0 Reorder the terms: -27 + -9z + -5(10 + 2z) = 0 -27 + -9z + (10 * -5 + 2z * -5) = 0 -27 + -9z + (-50 + -10z) = 0 Reorder the terms: -27 + -50 + -9z + -10z = 0 Combine like terms: -27 + -50 = -77 -77 + -9z + -10z = 0 Combine like terms: -9z + -10z = -19z -77 + -19z = 0 Solving -77 + -19z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + -19z = 0 + 77 Combine like terms: -77 + 77 = 0 0 + -19z = 0 + 77 -19z = 0 + 77 Combine like terms: 0 + 77 = 77 -19z = 77 Divide each side by '-19'. z = -4.052631579 Simplifying z = -4.052631579
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