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Simplifying -74 = 3(-3p + -3) + -2(1 + 6p) Reorder the terms: -74 = 3(-3 + -3p) + -2(1 + 6p) -74 = (-3 * 3 + -3p * 3) + -2(1 + 6p) -74 = (-9 + -9p) + -2(1 + 6p) -74 = -9 + -9p + (1 * -2 + 6p * -2) -74 = -9 + -9p + (-2 + -12p) Reorder the terms: -74 = -9 + -2 + -9p + -12p Combine like terms: -9 + -2 = -11 -74 = -11 + -9p + -12p Combine like terms: -9p + -12p = -21p -74 = -11 + -21p Solving -74 = -11 + -21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21p' to each side of the equation. -74 + 21p = -11 + -21p + 21p Combine like terms: -21p + 21p = 0 -74 + 21p = -11 + 0 -74 + 21p = -11 Add '74' to each side of the equation. -74 + 74 + 21p = -11 + 74 Combine like terms: -74 + 74 = 0 0 + 21p = -11 + 74 21p = -11 + 74 Combine like terms: -11 + 74 = 63 21p = 63 Divide each side by '21'. p = 3 Simplifying p = 3
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