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Simplifying 7(p + -5) = 12(p + -3) Reorder the terms: 7(-5 + p) = 12(p + -3) (-5 * 7 + p * 7) = 12(p + -3) (-35 + 7p) = 12(p + -3) Reorder the terms: -35 + 7p = 12(-3 + p) -35 + 7p = (-3 * 12 + p * 12) -35 + 7p = (-36 + 12p) Solving -35 + 7p = -36 + 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. -35 + 7p + -12p = -36 + 12p + -12p Combine like terms: 7p + -12p = -5p -35 + -5p = -36 + 12p + -12p Combine like terms: 12p + -12p = 0 -35 + -5p = -36 + 0 -35 + -5p = -36 Add '35' to each side of the equation. -35 + 35 + -5p = -36 + 35 Combine like terms: -35 + 35 = 0 0 + -5p = -36 + 35 -5p = -36 + 35 Combine like terms: -36 + 35 = -1 -5p = -1 Divide each side by '-5'. p = 0.2 Simplifying p = 0.2
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