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Simplifying 7p + -1 = 5(p + -1z) + 19 Reorder the terms: -1 + 7p = 5(p + -1z) + 19 -1 + 7p = (p * 5 + -1z * 5) + 19 -1 + 7p = (5p + -5z) + 19 Reorder the terms: -1 + 7p = 19 + 5p + -5z Solving -1 + 7p = 19 + 5p + -5z Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -1 + 7p + -5p = 19 + 5p + -5p + -5z Combine like terms: 7p + -5p = 2p -1 + 2p = 19 + 5p + -5p + -5z Combine like terms: 5p + -5p = 0 -1 + 2p = 19 + 0 + -5z -1 + 2p = 19 + -5z Add '1' to each side of the equation. -1 + 1 + 2p = 19 + 1 + -5z Combine like terms: -1 + 1 = 0 0 + 2p = 19 + 1 + -5z 2p = 19 + 1 + -5z Combine like terms: 19 + 1 = 20 2p = 20 + -5z Divide each side by '2'. p = 10 + -2.5z Simplifying p = 10 + -2.5z
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