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Simplifying 2p + -9 = 7(2p + -3) Reorder the terms: -9 + 2p = 7(2p + -3) Reorder the terms: -9 + 2p = 7(-3 + 2p) -9 + 2p = (-3 * 7 + 2p * 7) -9 + 2p = (-21 + 14p) Solving -9 + 2p = -21 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. -9 + 2p + -14p = -21 + 14p + -14p Combine like terms: 2p + -14p = -12p -9 + -12p = -21 + 14p + -14p Combine like terms: 14p + -14p = 0 -9 + -12p = -21 + 0 -9 + -12p = -21 Add '9' to each side of the equation. -9 + 9 + -12p = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -12p = -21 + 9 -12p = -21 + 9 Combine like terms: -21 + 9 = -12 -12p = -12 Divide each side by '-12'. p = 1 Simplifying p = 1
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