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Simplifying -7(p + 6) = 7p + -28 Reorder the terms: -7(6 + p) = 7p + -28 (6 * -7 + p * -7) = 7p + -28 (-42 + -7p) = 7p + -28 Reorder the terms: -42 + -7p = -28 + 7p Solving -42 + -7p = -28 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -42 + -7p + -7p = -28 + 7p + -7p Combine like terms: -7p + -7p = -14p -42 + -14p = -28 + 7p + -7p Combine like terms: 7p + -7p = 0 -42 + -14p = -28 + 0 -42 + -14p = -28 Add '42' to each side of the equation. -42 + 42 + -14p = -28 + 42 Combine like terms: -42 + 42 = 0 0 + -14p = -28 + 42 -14p = -28 + 42 Combine like terms: -28 + 42 = 14 -14p = 14 Divide each side by '-14'. p = -1 Simplifying p = -1
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