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Simplifying 8(-3z + 5) + 10z = 10 + -4(2z + -3) Reorder the terms: 8(5 + -3z) + 10z = 10 + -4(2z + -3) (5 * 8 + -3z * 8) + 10z = 10 + -4(2z + -3) (40 + -24z) + 10z = 10 + -4(2z + -3) Combine like terms: -24z + 10z = -14z 40 + -14z = 10 + -4(2z + -3) Reorder the terms: 40 + -14z = 10 + -4(-3 + 2z) 40 + -14z = 10 + (-3 * -4 + 2z * -4) 40 + -14z = 10 + (12 + -8z) Combine like terms: 10 + 12 = 22 40 + -14z = 22 + -8z Solving 40 + -14z = 22 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 40 + -14z + 8z = 22 + -8z + 8z Combine like terms: -14z + 8z = -6z 40 + -6z = 22 + -8z + 8z Combine like terms: -8z + 8z = 0 40 + -6z = 22 + 0 40 + -6z = 22 Add '-40' to each side of the equation. 40 + -40 + -6z = 22 + -40 Combine like terms: 40 + -40 = 0 0 + -6z = 22 + -40 -6z = 22 + -40 Combine like terms: 22 + -40 = -18 -6z = -18 Divide each side by '-6'. z = 3 Simplifying z = 3
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