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Simplifying 6(2p + -4) = (5p + -10) Reorder the terms: 6(-4 + 2p) = (5p + -10) (-4 * 6 + 2p * 6) = (5p + -10) (-24 + 12p) = (5p + -10) Reorder the terms: -24 + 12p = (-10 + 5p) Remove parenthesis around (-10 + 5p) -24 + 12p = -10 + 5p Solving -24 + 12p = -10 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -24 + 12p + -5p = -10 + 5p + -5p Combine like terms: 12p + -5p = 7p -24 + 7p = -10 + 5p + -5p Combine like terms: 5p + -5p = 0 -24 + 7p = -10 + 0 -24 + 7p = -10 Add '24' to each side of the equation. -24 + 24 + 7p = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 7p = -10 + 24 7p = -10 + 24 Combine like terms: -10 + 24 = 14 7p = 14 Divide each side by '7'. p = 2 Simplifying p = 2
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