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Simplifying -19 + 2p = 5(p + 8) Reorder the terms: -19 + 2p = 5(8 + p) -19 + 2p = (8 * 5 + p * 5) -19 + 2p = (40 + 5p) Solving -19 + 2p = 40 + 5p 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. -19 + 2p + -5p = 40 + 5p + -5p Combine like terms: 2p + -5p = -3p -19 + -3p = 40 + 5p + -5p Combine like terms: 5p + -5p = 0 -19 + -3p = 40 + 0 -19 + -3p = 40 Add '19' to each side of the equation. -19 + 19 + -3p = 40 + 19 Combine like terms: -19 + 19 = 0 0 + -3p = 40 + 19 -3p = 40 + 19 Combine like terms: 40 + 19 = 59 -3p = 59 Divide each side by '-3'. p = -19.66666667 Simplifying p = -19.66666667
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