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Simplifying 2p + -6 = 8 + 5(p + 9) Reorder the terms: -6 + 2p = 8 + 5(p + 9) Reorder the terms: -6 + 2p = 8 + 5(9 + p) -6 + 2p = 8 + (9 * 5 + p * 5) -6 + 2p = 8 + (45 + 5p) Combine like terms: 8 + 45 = 53 -6 + 2p = 53 + 5p Solving -6 + 2p = 53 + 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. -6 + 2p + -5p = 53 + 5p + -5p Combine like terms: 2p + -5p = -3p -6 + -3p = 53 + 5p + -5p Combine like terms: 5p + -5p = 0 -6 + -3p = 53 + 0 -6 + -3p = 53 Add '6' to each side of the equation. -6 + 6 + -3p = 53 + 6 Combine like terms: -6 + 6 = 0 0 + -3p = 53 + 6 -3p = 53 + 6 Combine like terms: 53 + 6 = 59 -3p = 59 Divide each side by '-3'. p = -19.66666667 Simplifying p = -19.66666667
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