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Simplifying -6(7 + 7p) = -6(4p + -4) + 4p (7 * -6 + 7p * -6) = -6(4p + -4) + 4p (-42 + -42p) = -6(4p + -4) + 4p Reorder the terms: -42 + -42p = -6(-4 + 4p) + 4p -42 + -42p = (-4 * -6 + 4p * -6) + 4p -42 + -42p = (24 + -24p) + 4p Combine like terms: -24p + 4p = -20p -42 + -42p = 24 + -20p Solving -42 + -42p = 24 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. -42 + -42p + 20p = 24 + -20p + 20p Combine like terms: -42p + 20p = -22p -42 + -22p = 24 + -20p + 20p Combine like terms: -20p + 20p = 0 -42 + -22p = 24 + 0 -42 + -22p = 24 Add '42' to each side of the equation. -42 + 42 + -22p = 24 + 42 Combine like terms: -42 + 42 = 0 0 + -22p = 24 + 42 -22p = 24 + 42 Combine like terms: 24 + 42 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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