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Simplifying 10p + -2(3p + -6) = 4(3p + -6) + -8 Reorder the terms: 10p + -2(-6 + 3p) = 4(3p + -6) + -8 10p + (-6 * -2 + 3p * -2) = 4(3p + -6) + -8 10p + (12 + -6p) = 4(3p + -6) + -8 Reorder the terms: 12 + 10p + -6p = 4(3p + -6) + -8 Combine like terms: 10p + -6p = 4p 12 + 4p = 4(3p + -6) + -8 Reorder the terms: 12 + 4p = 4(-6 + 3p) + -8 12 + 4p = (-6 * 4 + 3p * 4) + -8 12 + 4p = (-24 + 12p) + -8 Reorder the terms: 12 + 4p = -24 + -8 + 12p Combine like terms: -24 + -8 = -32 12 + 4p = -32 + 12p Solving 12 + 4p = -32 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 12 + 4p + -12p = -32 + 12p + -12p Combine like terms: 4p + -12p = -8p 12 + -8p = -32 + 12p + -12p Combine like terms: 12p + -12p = 0 12 + -8p = -32 + 0 12 + -8p = -32 Add '-12' to each side of the equation. 12 + -12 + -8p = -32 + -12 Combine like terms: 12 + -12 = 0 0 + -8p = -32 + -12 -8p = -32 + -12 Combine like terms: -32 + -12 = -44 -8p = -44 Divide each side by '-8'. p = 5.5 Simplifying p = 5.5
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