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Simplifying -5(p + -2) + 3p = 6(p + -4) Reorder the terms: -5(-2 + p) + 3p = 6(p + -4) (-2 * -5 + p * -5) + 3p = 6(p + -4) (10 + -5p) + 3p = 6(p + -4) Combine like terms: -5p + 3p = -2p 10 + -2p = 6(p + -4) Reorder the terms: 10 + -2p = 6(-4 + p) 10 + -2p = (-4 * 6 + p * 6) 10 + -2p = (-24 + 6p) Solving 10 + -2p = -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. 10 + -2p + -6p = -24 + 6p + -6p Combine like terms: -2p + -6p = -8p 10 + -8p = -24 + 6p + -6p Combine like terms: 6p + -6p = 0 10 + -8p = -24 + 0 10 + -8p = -24 Add '-10' to each side of the equation. 10 + -10 + -8p = -24 + -10 Combine like terms: 10 + -10 = 0 0 + -8p = -24 + -10 -8p = -24 + -10 Combine like terms: -24 + -10 = -34 -8p = -34 Divide each side by '-8'. p = 4.25 Simplifying p = 4.25
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