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Simplifying 2(5z + -7) + -4(3z + -7) = 0 Reorder the terms: 2(-7 + 5z) + -4(3z + -7) = 0 (-7 * 2 + 5z * 2) + -4(3z + -7) = 0 (-14 + 10z) + -4(3z + -7) = 0 Reorder the terms: -14 + 10z + -4(-7 + 3z) = 0 -14 + 10z + (-7 * -4 + 3z * -4) = 0 -14 + 10z + (28 + -12z) = 0 Reorder the terms: -14 + 28 + 10z + -12z = 0 Combine like terms: -14 + 28 = 14 14 + 10z + -12z = 0 Combine like terms: 10z + -12z = -2z 14 + -2z = 0 Solving 14 + -2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2z = 0 + -14 -2z = 0 + -14 Combine like terms: 0 + -14 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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