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Simplifying 2z(4 + -8) + -6 = 24x + 39 Combine like terms: 4 + -8 = -4 2z(-4) + -6 = 24x + 39 Reorder the terms for easier multiplication: 2 * -4z + -6 = 24x + 39 Multiply 2 * -4 -8z + -6 = 24x + 39 Reorder the terms: -6 + -8z = 24x + 39 Reorder the terms: -6 + -8z = 39 + 24x Solving -6 + -8z = 39 + 24x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -8z = 39 + 6 + 24x Combine like terms: -6 + 6 = 0 0 + -8z = 39 + 6 + 24x -8z = 39 + 6 + 24x Combine like terms: 39 + 6 = 45 -8z = 45 + 24x Divide each side by '-8'. z = -5.625 + -3x Simplifying z = -5.625 + -3x
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