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Simplifying 6 + -6(-6z + -3) = -4(-7z + 5) + -1 Reorder the terms: 6 + -6(-3 + -6z) = -4(-7z + 5) + -1 6 + (-3 * -6 + -6z * -6) = -4(-7z + 5) + -1 6 + (18 + 36z) = -4(-7z + 5) + -1 Combine like terms: 6 + 18 = 24 24 + 36z = -4(-7z + 5) + -1 Reorder the terms: 24 + 36z = -4(5 + -7z) + -1 24 + 36z = (5 * -4 + -7z * -4) + -1 24 + 36z = (-20 + 28z) + -1 Reorder the terms: 24 + 36z = -20 + -1 + 28z Combine like terms: -20 + -1 = -21 24 + 36z = -21 + 28z Solving 24 + 36z = -21 + 28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28z' to each side of the equation. 24 + 36z + -28z = -21 + 28z + -28z Combine like terms: 36z + -28z = 8z 24 + 8z = -21 + 28z + -28z Combine like terms: 28z + -28z = 0 24 + 8z = -21 + 0 24 + 8z = -21 Add '-24' to each side of the equation. 24 + -24 + 8z = -21 + -24 Combine like terms: 24 + -24 = 0 0 + 8z = -21 + -24 8z = -21 + -24 Combine like terms: -21 + -24 = -45 8z = -45 Divide each side by '8'. z = -5.625 Simplifying z = -5.625
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