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Simplifying 78 = 4(8p + -4) + 5(5p + -4) Reorder the terms: 78 = 4(-4 + 8p) + 5(5p + -4) 78 = (-4 * 4 + 8p * 4) + 5(5p + -4) 78 = (-16 + 32p) + 5(5p + -4) Reorder the terms: 78 = -16 + 32p + 5(-4 + 5p) 78 = -16 + 32p + (-4 * 5 + 5p * 5) 78 = -16 + 32p + (-20 + 25p) Reorder the terms: 78 = -16 + -20 + 32p + 25p Combine like terms: -16 + -20 = -36 78 = -36 + 32p + 25p Combine like terms: 32p + 25p = 57p 78 = -36 + 57p Solving 78 = -36 + 57p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-57p' to each side of the equation. 78 + -57p = -36 + 57p + -57p Combine like terms: 57p + -57p = 0 78 + -57p = -36 + 0 78 + -57p = -36 Add '-78' to each side of the equation. 78 + -78 + -57p = -36 + -78 Combine like terms: 78 + -78 = 0 0 + -57p = -36 + -78 -57p = -36 + -78 Combine like terms: -36 + -78 = -114 -57p = -114 Divide each side by '-57'. p = 2 Simplifying p = 2
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