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Simplifying 7(6p + 3) + -6 = -28 + -1p Reorder the terms: 7(3 + 6p) + -6 = -28 + -1p (3 * 7 + 6p * 7) + -6 = -28 + -1p (21 + 42p) + -6 = -28 + -1p Reorder the terms: 21 + -6 + 42p = -28 + -1p Combine like terms: 21 + -6 = 15 15 + 42p = -28 + -1p Solving 15 + 42p = -28 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 15 + 42p + p = -28 + -1p + p Combine like terms: 42p + p = 43p 15 + 43p = -28 + -1p + p Combine like terms: -1p + p = 0 15 + 43p = -28 + 0 15 + 43p = -28 Add '-15' to each side of the equation. 15 + -15 + 43p = -28 + -15 Combine like terms: 15 + -15 = 0 0 + 43p = -28 + -15 43p = -28 + -15 Combine like terms: -28 + -15 = -43 43p = -43 Divide each side by '43'. p = -1 Simplifying p = -1
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