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Simplifying 8(2p + -4) + -9(p + 2) = 2 + -5p Reorder the terms: 8(-4 + 2p) + -9(p + 2) = 2 + -5p (-4 * 8 + 2p * 8) + -9(p + 2) = 2 + -5p (-32 + 16p) + -9(p + 2) = 2 + -5p Reorder the terms: -32 + 16p + -9(2 + p) = 2 + -5p -32 + 16p + (2 * -9 + p * -9) = 2 + -5p -32 + 16p + (-18 + -9p) = 2 + -5p Reorder the terms: -32 + -18 + 16p + -9p = 2 + -5p Combine like terms: -32 + -18 = -50 -50 + 16p + -9p = 2 + -5p Combine like terms: 16p + -9p = 7p -50 + 7p = 2 + -5p Solving -50 + 7p = 2 + -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. -50 + 7p + 5p = 2 + -5p + 5p Combine like terms: 7p + 5p = 12p -50 + 12p = 2 + -5p + 5p Combine like terms: -5p + 5p = 0 -50 + 12p = 2 + 0 -50 + 12p = 2 Add '50' to each side of the equation. -50 + 50 + 12p = 2 + 50 Combine like terms: -50 + 50 = 0 0 + 12p = 2 + 50 12p = 2 + 50 Combine like terms: 2 + 50 = 52 12p = 52 Divide each side by '12'. p = 4.333333333 Simplifying p = 4.333333333
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