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Simplifying 9p + -2 + p = -6(-9p + 2) + -6(-7 + 7p) Reorder the terms: -2 + 9p + p = -6(-9p + 2) + -6(-7 + 7p) Combine like terms: 9p + p = 10p -2 + 10p = -6(-9p + 2) + -6(-7 + 7p) Reorder the terms: -2 + 10p = -6(2 + -9p) + -6(-7 + 7p) -2 + 10p = (2 * -6 + -9p * -6) + -6(-7 + 7p) -2 + 10p = (-12 + 54p) + -6(-7 + 7p) -2 + 10p = -12 + 54p + (-7 * -6 + 7p * -6) -2 + 10p = -12 + 54p + (42 + -42p) Reorder the terms: -2 + 10p = -12 + 42 + 54p + -42p Combine like terms: -12 + 42 = 30 -2 + 10p = 30 + 54p + -42p Combine like terms: 54p + -42p = 12p -2 + 10p = 30 + 12p Solving -2 + 10p = 30 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -2 + 10p + -12p = 30 + 12p + -12p Combine like terms: 10p + -12p = -2p -2 + -2p = 30 + 12p + -12p Combine like terms: 12p + -12p = 0 -2 + -2p = 30 + 0 -2 + -2p = 30 Add '2' to each side of the equation. -2 + 2 + -2p = 30 + 2 Combine like terms: -2 + 2 = 0 0 + -2p = 30 + 2 -2p = 30 + 2 Combine like terms: 30 + 2 = 32 -2p = 32 Divide each side by '-2'. p = -16 Simplifying p = -16
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