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Simplifying 7(z + -1) = 6(z + 7) Reorder the terms: 7(-1 + z) = 6(z + 7) (-1 * 7 + z * 7) = 6(z + 7) (-7 + 7z) = 6(z + 7) Reorder the terms: -7 + 7z = 6(7 + z) -7 + 7z = (7 * 6 + z * 6) -7 + 7z = (42 + 6z) Solving -7 + 7z = 42 + 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. -7 + 7z + -6z = 42 + 6z + -6z Combine like terms: 7z + -6z = 1z -7 + 1z = 42 + 6z + -6z Combine like terms: 6z + -6z = 0 -7 + 1z = 42 + 0 -7 + 1z = 42 Add '7' to each side of the equation. -7 + 7 + 1z = 42 + 7 Combine like terms: -7 + 7 = 0 0 + 1z = 42 + 7 1z = 42 + 7 Combine like terms: 42 + 7 = 49 1z = 49 Divide each side by '1'. z = 49 Simplifying z = 49
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