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Simplifying -6(z + -7) = 6 + -5z Reorder the terms: -6(-7 + z) = 6 + -5z (-7 * -6 + z * -6) = 6 + -5z (42 + -6z) = 6 + -5z Solving 42 + -6z = 6 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 42 + -6z + 5z = 6 + -5z + 5z Combine like terms: -6z + 5z = -1z 42 + -1z = 6 + -5z + 5z Combine like terms: -5z + 5z = 0 42 + -1z = 6 + 0 42 + -1z = 6 Add '-42' to each side of the equation. 42 + -42 + -1z = 6 + -42 Combine like terms: 42 + -42 = 0 0 + -1z = 6 + -42 -1z = 6 + -42 Combine like terms: 6 + -42 = -36 -1z = -36 Divide each side by '-1'. z = 36 Simplifying z = 36
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