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Simplifying 10(4z + -8) = 5(10z + -4) Reorder the terms: 10(-8 + 4z) = 5(10z + -4) (-8 * 10 + 4z * 10) = 5(10z + -4) (-80 + 40z) = 5(10z + -4) Reorder the terms: -80 + 40z = 5(-4 + 10z) -80 + 40z = (-4 * 5 + 10z * 5) -80 + 40z = (-20 + 50z) Solving -80 + 40z = -20 + 50z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-50z' to each side of the equation. -80 + 40z + -50z = -20 + 50z + -50z Combine like terms: 40z + -50z = -10z -80 + -10z = -20 + 50z + -50z Combine like terms: 50z + -50z = 0 -80 + -10z = -20 + 0 -80 + -10z = -20 Add '80' to each side of the equation. -80 + 80 + -10z = -20 + 80 Combine like terms: -80 + 80 = 0 0 + -10z = -20 + 80 -10z = -20 + 80 Combine like terms: -20 + 80 = 60 -10z = 60 Divide each side by '-10'. z = -6 Simplifying z = -6
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