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Simplifying 7(z + -1p) = 5(z + -1) Reorder the terms: 7(-1p + z) = 5(z + -1) (-1p * 7 + z * 7) = 5(z + -1) (-7p + 7z) = 5(z + -1) Reorder the terms: -7p + 7z = 5(-1 + z) -7p + 7z = (-1 * 5 + z * 5) -7p + 7z = (-5 + 5z) Solving -7p + 7z = -5 + 5z Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7z' to each side of the equation. -7p + 7z + -7z = -5 + 5z + -7z Combine like terms: 7z + -7z = 0 -7p + 0 = -5 + 5z + -7z -7p = -5 + 5z + -7z Combine like terms: 5z + -7z = -2z -7p = -5 + -2z Divide each side by '-7'. p = 0.7142857143 + 0.2857142857z Simplifying p = 0.7142857143 + 0.2857142857z
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