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Simplifying 4(p + 3) = 3(p + -2) Reorder the terms: 4(3 + p) = 3(p + -2) (3 * 4 + p * 4) = 3(p + -2) (12 + 4p) = 3(p + -2) Reorder the terms: 12 + 4p = 3(-2 + p) 12 + 4p = (-2 * 3 + p * 3) 12 + 4p = (-6 + 3p) Solving 12 + 4p = -6 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 12 + 4p + -3p = -6 + 3p + -3p Combine like terms: 4p + -3p = 1p 12 + 1p = -6 + 3p + -3p Combine like terms: 3p + -3p = 0 12 + 1p = -6 + 0 12 + 1p = -6 Add '-12' to each side of the equation. 12 + -12 + 1p = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 1p = -6 + -12 1p = -6 + -12 Combine like terms: -6 + -12 = -18 1p = -18 Divide each side by '1'. p = -18 Simplifying p = -18
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