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Simplifying -12 + 5p = -7(-2p + 3) Reorder the terms: -12 + 5p = -7(3 + -2p) -12 + 5p = (3 * -7 + -2p * -7) -12 + 5p = (-21 + 14p) Solving -12 + 5p = -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. -12 + 5p + -14p = -21 + 14p + -14p Combine like terms: 5p + -14p = -9p -12 + -9p = -21 + 14p + -14p Combine like terms: 14p + -14p = 0 -12 + -9p = -21 + 0 -12 + -9p = -21 Add '12' to each side of the equation. -12 + 12 + -9p = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -9p = -21 + 12 -9p = -21 + 12 Combine like terms: -21 + 12 = -9 -9p = -9 Divide each side by '-9'. p = 1 Simplifying p = 1
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