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Simplifying 4z + -10 = 3(6 + -8z) Reorder the terms: -10 + 4z = 3(6 + -8z) -10 + 4z = (6 * 3 + -8z * 3) -10 + 4z = (18 + -24z) Solving -10 + 4z = 18 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. -10 + 4z + 24z = 18 + -24z + 24z Combine like terms: 4z + 24z = 28z -10 + 28z = 18 + -24z + 24z Combine like terms: -24z + 24z = 0 -10 + 28z = 18 + 0 -10 + 28z = 18 Add '10' to each side of the equation. -10 + 10 + 28z = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 28z = 18 + 10 28z = 18 + 10 Combine like terms: 18 + 10 = 28 28z = 28 Divide each side by '28'. z = 1 Simplifying z = 1
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