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Simplifying 8p + 7(p + -6) = 5p + 28 Reorder the terms: 8p + 7(-6 + p) = 5p + 28 8p + (-6 * 7 + p * 7) = 5p + 28 8p + (-42 + 7p) = 5p + 28 Reorder the terms: -42 + 8p + 7p = 5p + 28 Combine like terms: 8p + 7p = 15p -42 + 15p = 5p + 28 Reorder the terms: -42 + 15p = 28 + 5p Solving -42 + 15p = 28 + 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. -42 + 15p + -5p = 28 + 5p + -5p Combine like terms: 15p + -5p = 10p -42 + 10p = 28 + 5p + -5p Combine like terms: 5p + -5p = 0 -42 + 10p = 28 + 0 -42 + 10p = 28 Add '42' to each side of the equation. -42 + 42 + 10p = 28 + 42 Combine like terms: -42 + 42 = 0 0 + 10p = 28 + 42 10p = 28 + 42 Combine like terms: 28 + 42 = 70 10p = 70 Divide each side by '10'. p = 7 Simplifying p = 7
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