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Simplifying 4p + -8p + 12 + -6 = 6(p + -4) Reorder the terms: 12 + -6 + 4p + -8p = 6(p + -4) Combine like terms: 12 + -6 = 6 6 + 4p + -8p = 6(p + -4) Combine like terms: 4p + -8p = -4p 6 + -4p = 6(p + -4) Reorder the terms: 6 + -4p = 6(-4 + p) 6 + -4p = (-4 * 6 + p * 6) 6 + -4p = (-24 + 6p) Solving 6 + -4p = -24 + 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. 6 + -4p + -6p = -24 + 6p + -6p Combine like terms: -4p + -6p = -10p 6 + -10p = -24 + 6p + -6p Combine like terms: 6p + -6p = 0 6 + -10p = -24 + 0 6 + -10p = -24 Add '-6' to each side of the equation. 6 + -6 + -10p = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -10p = -24 + -6 -10p = -24 + -6 Combine like terms: -24 + -6 = -30 -10p = -30 Divide each side by '-10'. p = 3 Simplifying p = 3
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