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Simplifying 4(3p + -4) = 2(3p + 1) Reorder the terms: 4(-4 + 3p) = 2(3p + 1) (-4 * 4 + 3p * 4) = 2(3p + 1) (-16 + 12p) = 2(3p + 1) Reorder the terms: -16 + 12p = 2(1 + 3p) -16 + 12p = (1 * 2 + 3p * 2) -16 + 12p = (2 + 6p) Solving -16 + 12p = 2 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -16 + 12p + -6p = 2 + 6p + -6p Combine like terms: 12p + -6p = 6p -16 + 6p = 2 + 6p + -6p Combine like terms: 6p + -6p = 0 -16 + 6p = 2 + 0 -16 + 6p = 2 Add '16' to each side of the equation. -16 + 16 + 6p = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 6p = 2 + 16 6p = 2 + 16 Combine like terms: 2 + 16 = 18 6p = 18 Divide each side by '6'. p = 3 Simplifying p = 3
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