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Simplifying -6(z + 7) = 2 + -5z Reorder the terms: -6(7 + z) = 2 + -5z (7 * -6 + z * -6) = 2 + -5z (-42 + -6z) = 2 + -5z Solving -42 + -6z = 2 + -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 = 2 + -5z + 5z Combine like terms: -6z + 5z = -1z -42 + -1z = 2 + -5z + 5z Combine like terms: -5z + 5z = 0 -42 + -1z = 2 + 0 -42 + -1z = 2 Add '42' to each side of the equation. -42 + 42 + -1z = 2 + 42 Combine like terms: -42 + 42 = 0 0 + -1z = 2 + 42 -1z = 2 + 42 Combine like terms: 2 + 42 = 44 -1z = 44 Divide each side by '-1'. z = -44 Simplifying z = -44
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