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Simplifying 9(7 + -5p) = -3 + -8(3 + 5p) (7 * 9 + -5p * 9) = -3 + -8(3 + 5p) (63 + -45p) = -3 + -8(3 + 5p) 63 + -45p = -3 + (3 * -8 + 5p * -8) 63 + -45p = -3 + (-24 + -40p) Combine like terms: -3 + -24 = -27 63 + -45p = -27 + -40p Solving 63 + -45p = -27 + -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. 63 + -45p + 40p = -27 + -40p + 40p Combine like terms: -45p + 40p = -5p 63 + -5p = -27 + -40p + 40p Combine like terms: -40p + 40p = 0 63 + -5p = -27 + 0 63 + -5p = -27 Add '-63' to each side of the equation. 63 + -63 + -5p = -27 + -63 Combine like terms: 63 + -63 = 0 0 + -5p = -27 + -63 -5p = -27 + -63 Combine like terms: -27 + -63 = -90 -5p = -90 Divide each side by '-5'. p = 18 Simplifying p = 18
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