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Simplifying -7(z + -6) = 6z + -10 Reorder the terms: -7(-6 + z) = 6z + -10 (-6 * -7 + z * -7) = 6z + -10 (42 + -7z) = 6z + -10 Reorder the terms: 42 + -7z = -10 + 6z Solving 42 + -7z = -10 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 42 + -7z + -6z = -10 + 6z + -6z Combine like terms: -7z + -6z = -13z 42 + -13z = -10 + 6z + -6z Combine like terms: 6z + -6z = 0 42 + -13z = -10 + 0 42 + -13z = -10 Add '-42' to each side of the equation. 42 + -42 + -13z = -10 + -42 Combine like terms: 42 + -42 = 0 0 + -13z = -10 + -42 -13z = -10 + -42 Combine like terms: -10 + -42 = -52 -13z = -52 Divide each side by '-13'. z = 4 Simplifying z = 4
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