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Simplifying 74 = -2(1 + 6p) + -4(p + -3) 74 = (1 * -2 + 6p * -2) + -4(p + -3) 74 = (-2 + -12p) + -4(p + -3) Reorder the terms: 74 = -2 + -12p + -4(-3 + p) 74 = -2 + -12p + (-3 * -4 + p * -4) 74 = -2 + -12p + (12 + -4p) Reorder the terms: 74 = -2 + 12 + -12p + -4p Combine like terms: -2 + 12 = 10 74 = 10 + -12p + -4p Combine like terms: -12p + -4p = -16p 74 = 10 + -16p Solving 74 = 10 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. 74 + 16p = 10 + -16p + 16p Combine like terms: -16p + 16p = 0 74 + 16p = 10 + 0 74 + 16p = 10 Add '-74' to each side of the equation. 74 + -74 + 16p = 10 + -74 Combine like terms: 74 + -74 = 0 0 + 16p = 10 + -74 16p = 10 + -74 Combine like terms: 10 + -74 = -64 16p = -64 Divide each side by '16'. p = -4 Simplifying p = -4
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