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Simplifying 8(5z + -7) = -4(10z + 14) Reorder the terms: 8(-7 + 5z) = -4(10z + 14) (-7 * 8 + 5z * 8) = -4(10z + 14) (-56 + 40z) = -4(10z + 14) Reorder the terms: -56 + 40z = -4(14 + 10z) -56 + 40z = (14 * -4 + 10z * -4) -56 + 40z = (-56 + -40z) Add '56' to each side of the equation. -56 + 56 + 40z = -56 + 56 + -40z Combine like terms: -56 + 56 = 0 0 + 40z = -56 + 56 + -40z 40z = -56 + 56 + -40z Combine like terms: -56 + 56 = 0 40z = 0 + -40z 40z = -40z Solving 40z = -40z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '40z' to each side of the equation. 40z + 40z = -40z + 40z Combine like terms: 40z + 40z = 80z 80z = -40z + 40z Combine like terms: -40z + 40z = 0 80z = 0 Divide each side by '80'. z = 0 Simplifying z = 0
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