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Simplifying 5(p + -3) + 2p + -6 = 35 Reorder the terms: 5(-3 + p) + 2p + -6 = 35 (-3 * 5 + p * 5) + 2p + -6 = 35 (-15 + 5p) + 2p + -6 = 35 Reorder the terms: -15 + -6 + 5p + 2p = 35 Combine like terms: -15 + -6 = -21 -21 + 5p + 2p = 35 Combine like terms: 5p + 2p = 7p -21 + 7p = 35 Solving -21 + 7p = 35 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 + 7p = 35 + 21 Combine like terms: -21 + 21 = 0 0 + 7p = 35 + 21 7p = 35 + 21 Combine like terms: 35 + 21 = 56 7p = 56 Divide each side by '7'. p = 8 Simplifying p = 8
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