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Simplifying 5(2z + 6) = -4(-5 + -2z) + 3z Reorder the terms: 5(6 + 2z) = -4(-5 + -2z) + 3z (6 * 5 + 2z * 5) = -4(-5 + -2z) + 3z (30 + 10z) = -4(-5 + -2z) + 3z 30 + 10z = (-5 * -4 + -2z * -4) + 3z 30 + 10z = (20 + 8z) + 3z Combine like terms: 8z + 3z = 11z 30 + 10z = 20 + 11z Solving 30 + 10z = 20 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. 30 + 10z + -11z = 20 + 11z + -11z Combine like terms: 10z + -11z = -1z 30 + -1z = 20 + 11z + -11z Combine like terms: 11z + -11z = 0 30 + -1z = 20 + 0 30 + -1z = 20 Add '-30' to each side of the equation. 30 + -30 + -1z = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -1z = 20 + -30 -1z = 20 + -30 Combine like terms: 20 + -30 = -10 -1z = -10 Divide each side by '-1'. z = 10 Simplifying z = 10
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