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Simplifying -28 = 7(p + 3) + 3(8p + -6) Reorder the terms: -28 = 7(3 + p) + 3(8p + -6) -28 = (3 * 7 + p * 7) + 3(8p + -6) -28 = (21 + 7p) + 3(8p + -6) Reorder the terms: -28 = 21 + 7p + 3(-6 + 8p) -28 = 21 + 7p + (-6 * 3 + 8p * 3) -28 = 21 + 7p + (-18 + 24p) Reorder the terms: -28 = 21 + -18 + 7p + 24p Combine like terms: 21 + -18 = 3 -28 = 3 + 7p + 24p Combine like terms: 7p + 24p = 31p -28 = 3 + 31p Solving -28 = 3 + 31p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-31p' to each side of the equation. -28 + -31p = 3 + 31p + -31p Combine like terms: 31p + -31p = 0 -28 + -31p = 3 + 0 -28 + -31p = 3 Add '28' to each side of the equation. -28 + 28 + -31p = 3 + 28 Combine like terms: -28 + 28 = 0 0 + -31p = 3 + 28 -31p = 3 + 28 Combine like terms: 3 + 28 = 31 -31p = 31 Divide each side by '-31'. p = -1 Simplifying p = -1
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