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Simplifying 19p + -3p + 15 = 13 + 9(2p + -4) Reorder the terms: 15 + 19p + -3p = 13 + 9(2p + -4) Combine like terms: 19p + -3p = 16p 15 + 16p = 13 + 9(2p + -4) Reorder the terms: 15 + 16p = 13 + 9(-4 + 2p) 15 + 16p = 13 + (-4 * 9 + 2p * 9) 15 + 16p = 13 + (-36 + 18p) Combine like terms: 13 + -36 = -23 15 + 16p = -23 + 18p Solving 15 + 16p = -23 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. 15 + 16p + -18p = -23 + 18p + -18p Combine like terms: 16p + -18p = -2p 15 + -2p = -23 + 18p + -18p Combine like terms: 18p + -18p = 0 15 + -2p = -23 + 0 15 + -2p = -23 Add '-15' to each side of the equation. 15 + -15 + -2p = -23 + -15 Combine like terms: 15 + -15 = 0 0 + -2p = -23 + -15 -2p = -23 + -15 Combine like terms: -23 + -15 = -38 -2p = -38 Divide each side by '-2'. p = 19 Simplifying p = 19
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