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Simplifying 10z + -20 = -8(z + -20) Reorder the terms: -20 + 10z = -8(z + -20) Reorder the terms: -20 + 10z = -8(-20 + z) -20 + 10z = (-20 * -8 + z * -8) -20 + 10z = (160 + -8z) Solving -20 + 10z = 160 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -20 + 10z + 8z = 160 + -8z + 8z Combine like terms: 10z + 8z = 18z -20 + 18z = 160 + -8z + 8z Combine like terms: -8z + 8z = 0 -20 + 18z = 160 + 0 -20 + 18z = 160 Add '20' to each side of the equation. -20 + 20 + 18z = 160 + 20 Combine like terms: -20 + 20 = 0 0 + 18z = 160 + 20 18z = 160 + 20 Combine like terms: 160 + 20 = 180 18z = 180 Divide each side by '18'. z = 10 Simplifying z = 10
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