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Simplifying 19 + 4(p + -9) = 6p Reorder the terms: 19 + 4(-9 + p) = 6p 19 + (-9 * 4 + p * 4) = 6p 19 + (-36 + 4p) = 6p Combine like terms: 19 + -36 = -17 -17 + 4p = 6p Solving -17 + 4p = 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -17 + 4p + -6p = 6p + -6p Combine like terms: 4p + -6p = -2p -17 + -2p = 6p + -6p Combine like terms: 6p + -6p = 0 -17 + -2p = 0 Add '17' to each side of the equation. -17 + 17 + -2p = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -2p = 0 + 17 -2p = 0 + 17 Combine like terms: 0 + 17 = 17 -2p = 17 Divide each side by '-2'. p = -8.5 Simplifying p = -8.5
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