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Simplifying 3(z + -8) + -1(-6z + -3) = 8z Reorder the terms: 3(-8 + z) + -1(-6z + -3) = 8z (-8 * 3 + z * 3) + -1(-6z + -3) = 8z (-24 + 3z) + -1(-6z + -3) = 8z Reorder the terms: -24 + 3z + -1(-3 + -6z) = 8z -24 + 3z + (-3 * -1 + -6z * -1) = 8z -24 + 3z + (3 + 6z) = 8z Reorder the terms: -24 + 3 + 3z + 6z = 8z Combine like terms: -24 + 3 = -21 -21 + 3z + 6z = 8z Combine like terms: 3z + 6z = 9z -21 + 9z = 8z Solving -21 + 9z = 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. -21 + 9z + -8z = 8z + -8z Combine like terms: 9z + -8z = 1z -21 + 1z = 8z + -8z Combine like terms: 8z + -8z = 0 -21 + 1z = 0 Add '21' to each side of the equation. -21 + 21 + 1z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 1z = 0 + 21 1z = 0 + 21 Combine like terms: 0 + 21 = 21 1z = 21 Divide each side by '1'. z = 21 Simplifying z = 21
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