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Simplifying 10z + -24 = 2(8z + -18) Reorder the terms: -24 + 10z = 2(8z + -18) Reorder the terms: -24 + 10z = 2(-18 + 8z) -24 + 10z = (-18 * 2 + 8z * 2) -24 + 10z = (-36 + 16z) Solving -24 + 10z = -36 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. -24 + 10z + -16z = -36 + 16z + -16z Combine like terms: 10z + -16z = -6z -24 + -6z = -36 + 16z + -16z Combine like terms: 16z + -16z = 0 -24 + -6z = -36 + 0 -24 + -6z = -36 Add '24' to each side of the equation. -24 + 24 + -6z = -36 + 24 Combine like terms: -24 + 24 = 0 0 + -6z = -36 + 24 -6z = -36 + 24 Combine like terms: -36 + 24 = -12 -6z = -12 Divide each side by '-6'. z = 2 Simplifying z = 2
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