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Simplifying 3(4z + -7) + -2(z + -5) = 0 Reorder the terms: 3(-7 + 4z) + -2(z + -5) = 0 (-7 * 3 + 4z * 3) + -2(z + -5) = 0 (-21 + 12z) + -2(z + -5) = 0 Reorder the terms: -21 + 12z + -2(-5 + z) = 0 -21 + 12z + (-5 * -2 + z * -2) = 0 -21 + 12z + (10 + -2z) = 0 Reorder the terms: -21 + 10 + 12z + -2z = 0 Combine like terms: -21 + 10 = -11 -11 + 12z + -2z = 0 Combine like terms: 12z + -2z = 10z -11 + 10z = 0 Solving -11 + 10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 10z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 10z = 0 + 11 10z = 0 + 11 Combine like terms: 0 + 11 = 11 10z = 11 Divide each side by '10'. z = 1.1 Simplifying z = 1.1
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