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Simplifying -21 + 7p = 7(2 + 6p) -21 + 7p = (2 * 7 + 6p * 7) -21 + 7p = (14 + 42p) Solving -21 + 7p = 14 + 42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42p' to each side of the equation. -21 + 7p + -42p = 14 + 42p + -42p Combine like terms: 7p + -42p = -35p -21 + -35p = 14 + 42p + -42p Combine like terms: 42p + -42p = 0 -21 + -35p = 14 + 0 -21 + -35p = 14 Add '21' to each side of the equation. -21 + 21 + -35p = 14 + 21 Combine like terms: -21 + 21 = 0 0 + -35p = 14 + 21 -35p = 14 + 21 Combine like terms: 14 + 21 = 35 -35p = 35 Divide each side by '-35'. p = -1 Simplifying p = -1
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