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Simplifying 4p + -9 = 8(4p + -9) Reorder the terms: -9 + 4p = 8(4p + -9) Reorder the terms: -9 + 4p = 8(-9 + 4p) -9 + 4p = (-9 * 8 + 4p * 8) -9 + 4p = (-72 + 32p) Solving -9 + 4p = -72 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. -9 + 4p + -32p = -72 + 32p + -32p Combine like terms: 4p + -32p = -28p -9 + -28p = -72 + 32p + -32p Combine like terms: 32p + -32p = 0 -9 + -28p = -72 + 0 -9 + -28p = -72 Add '9' to each side of the equation. -9 + 9 + -28p = -72 + 9 Combine like terms: -9 + 9 = 0 0 + -28p = -72 + 9 -28p = -72 + 9 Combine like terms: -72 + 9 = -63 -28p = -63 Divide each side by '-28'. p = 2.25 Simplifying p = 2.25
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