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Simplifying 5(p + -7) + 17 + -3 = 19 Reorder the terms: 5(-7 + p) + 17 + -3 = 19 (-7 * 5 + p * 5) + 17 + -3 = 19 (-35 + 5p) + 17 + -3 = 19 Reorder the terms: -35 + 17 + -3 + 5p = 19 Combine like terms: -35 + 17 = -18 -18 + -3 + 5p = 19 Combine like terms: -18 + -3 = -21 -21 + 5p = 19 Solving -21 + 5p = 19 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 5p = 19 + 21 Combine like terms: -21 + 21 = 0 0 + 5p = 19 + 21 5p = 19 + 21 Combine like terms: 19 + 21 = 40 5p = 40 Divide each side by '5'. p = 8 Simplifying p = 8
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