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Simplifying 6(p + -9) = 12(p + -10) Reorder the terms: 6(-9 + p) = 12(p + -10) (-9 * 6 + p * 6) = 12(p + -10) (-54 + 6p) = 12(p + -10) Reorder the terms: -54 + 6p = 12(-10 + p) -54 + 6p = (-10 * 12 + p * 12) -54 + 6p = (-120 + 12p) Solving -54 + 6p = -120 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -54 + 6p + -12p = -120 + 12p + -12p Combine like terms: 6p + -12p = -6p -54 + -6p = -120 + 12p + -12p Combine like terms: 12p + -12p = 0 -54 + -6p = -120 + 0 -54 + -6p = -120 Add '54' to each side of the equation. -54 + 54 + -6p = -120 + 54 Combine like terms: -54 + 54 = 0 0 + -6p = -120 + 54 -6p = -120 + 54 Combine like terms: -120 + 54 = -66 -6p = -66 Divide each side by '-6'. p = 11 Simplifying p = 11
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