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Simplifying 2(z + -3) + 4(2z + -7) = 0 Reorder the terms: 2(-3 + z) + 4(2z + -7) = 0 (-3 * 2 + z * 2) + 4(2z + -7) = 0 (-6 + 2z) + 4(2z + -7) = 0 Reorder the terms: -6 + 2z + 4(-7 + 2z) = 0 -6 + 2z + (-7 * 4 + 2z * 4) = 0 -6 + 2z + (-28 + 8z) = 0 Reorder the terms: -6 + -28 + 2z + 8z = 0 Combine like terms: -6 + -28 = -34 -34 + 2z + 8z = 0 Combine like terms: 2z + 8z = 10z -34 + 10z = 0 Solving -34 + 10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 10z = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 10z = 0 + 34 10z = 0 + 34 Combine like terms: 0 + 34 = 34 10z = 34 Divide each side by '10'. z = 3.4 Simplifying z = 3.4
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