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Simplifying -37 + 8p = 3p + -3(7 + -7p) -37 + 8p = 3p + (7 * -3 + -7p * -3) -37 + 8p = 3p + (-21 + 21p) Reorder the terms: -37 + 8p = -21 + 3p + 21p Combine like terms: 3p + 21p = 24p -37 + 8p = -21 + 24p Solving -37 + 8p = -21 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -37 + 8p + -24p = -21 + 24p + -24p Combine like terms: 8p + -24p = -16p -37 + -16p = -21 + 24p + -24p Combine like terms: 24p + -24p = 0 -37 + -16p = -21 + 0 -37 + -16p = -21 Add '37' to each side of the equation. -37 + 37 + -16p = -21 + 37 Combine like terms: -37 + 37 = 0 0 + -16p = -21 + 37 -16p = -21 + 37 Combine like terms: -21 + 37 = 16 -16p = 16 Divide each side by '-16'. p = -1 Simplifying p = -1
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