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Simplifying 9p + -8 = 9(4p + -2) + -7(8 + -4p) Reorder the terms: -8 + 9p = 9(4p + -2) + -7(8 + -4p) Reorder the terms: -8 + 9p = 9(-2 + 4p) + -7(8 + -4p) -8 + 9p = (-2 * 9 + 4p * 9) + -7(8 + -4p) -8 + 9p = (-18 + 36p) + -7(8 + -4p) -8 + 9p = -18 + 36p + (8 * -7 + -4p * -7) -8 + 9p = -18 + 36p + (-56 + 28p) Reorder the terms: -8 + 9p = -18 + -56 + 36p + 28p Combine like terms: -18 + -56 = -74 -8 + 9p = -74 + 36p + 28p Combine like terms: 36p + 28p = 64p -8 + 9p = -74 + 64p Solving -8 + 9p = -74 + 64p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-64p' to each side of the equation. -8 + 9p + -64p = -74 + 64p + -64p Combine like terms: 9p + -64p = -55p -8 + -55p = -74 + 64p + -64p Combine like terms: 64p + -64p = 0 -8 + -55p = -74 + 0 -8 + -55p = -74 Add '8' to each side of the equation. -8 + 8 + -55p = -74 + 8 Combine like terms: -8 + 8 = 0 0 + -55p = -74 + 8 -55p = -74 + 8 Combine like terms: -74 + 8 = -66 -55p = -66 Divide each side by '-55'. p = 1.2 Simplifying p = 1.2
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