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Simplifying 4(2z + -1) = -10(z + -5) Reorder the terms: 4(-1 + 2z) = -10(z + -5) (-1 * 4 + 2z * 4) = -10(z + -5) (-4 + 8z) = -10(z + -5) Reorder the terms: -4 + 8z = -10(-5 + z) -4 + 8z = (-5 * -10 + z * -10) -4 + 8z = (50 + -10z) Solving -4 + 8z = 50 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. -4 + 8z + 10z = 50 + -10z + 10z Combine like terms: 8z + 10z = 18z -4 + 18z = 50 + -10z + 10z Combine like terms: -10z + 10z = 0 -4 + 18z = 50 + 0 -4 + 18z = 50 Add '4' to each side of the equation. -4 + 4 + 18z = 50 + 4 Combine like terms: -4 + 4 = 0 0 + 18z = 50 + 4 18z = 50 + 4 Combine like terms: 50 + 4 = 54 18z = 54 Divide each side by '18'. z = 3 Simplifying z = 3
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