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Simplifying 7(8 + 3p) = -5(1 + 8p) (8 * 7 + 3p * 7) = -5(1 + 8p) (56 + 21p) = -5(1 + 8p) 56 + 21p = (1 * -5 + 8p * -5) 56 + 21p = (-5 + -40p) Solving 56 + 21p = -5 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. 56 + 21p + 40p = -5 + -40p + 40p Combine like terms: 21p + 40p = 61p 56 + 61p = -5 + -40p + 40p Combine like terms: -40p + 40p = 0 56 + 61p = -5 + 0 56 + 61p = -5 Add '-56' to each side of the equation. 56 + -56 + 61p = -5 + -56 Combine like terms: 56 + -56 = 0 0 + 61p = -5 + -56 61p = -5 + -56 Combine like terms: -5 + -56 = -61 61p = -61 Divide each side by '61'. p = -1 Simplifying p = -1
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