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Simplifying 5(p + 2) + 6(-3 + -1p) = 0 Reorder the terms: 5(2 + p) + 6(-3 + -1p) = 0 (2 * 5 + p * 5) + 6(-3 + -1p) = 0 (10 + 5p) + 6(-3 + -1p) = 0 10 + 5p + (-3 * 6 + -1p * 6) = 0 10 + 5p + (-18 + -6p) = 0 Reorder the terms: 10 + -18 + 5p + -6p = 0 Combine like terms: 10 + -18 = -8 -8 + 5p + -6p = 0 Combine like terms: 5p + -6p = -1p -8 + -1p = 0 Solving -8 + -1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1p = 0 + 8 -1p = 0 + 8 Combine like terms: 0 + 8 = 8 -1p = 8 Divide each side by '-1'. p = -8 Simplifying p = -8
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