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Simplifying -32 = -4 + -7(3p + -22) Reorder the terms: -32 = -4 + -7(-22 + 3p) -32 = -4 + (-22 * -7 + 3p * -7) -32 = -4 + (154 + -21p) Combine like terms: -4 + 154 = 150 -32 = 150 + -21p Solving -32 = 150 + -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. -32 + 21p = 150 + -21p + 21p Combine like terms: -21p + 21p = 0 -32 + 21p = 150 + 0 -32 + 21p = 150 Add '32' to each side of the equation. -32 + 32 + 21p = 150 + 32 Combine like terms: -32 + 32 = 0 0 + 21p = 150 + 32 21p = 150 + 32 Combine like terms: 150 + 32 = 182 21p = 182 Divide each side by '21'. p = 8.666666667 Simplifying p = 8.666666667
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