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Simplifying 10p + -2(3p + -6) = 43p + -60 + -8p Reorder the terms: 10p + -2(-6 + 3p) = 43p + -60 + -8p 10p + (-6 * -2 + 3p * -2) = 43p + -60 + -8p 10p + (12 + -6p) = 43p + -60 + -8p Reorder the terms: 12 + 10p + -6p = 43p + -60 + -8p Combine like terms: 10p + -6p = 4p 12 + 4p = 43p + -60 + -8p Reorder the terms: 12 + 4p = -60 + 43p + -8p Combine like terms: 43p + -8p = 35p 12 + 4p = -60 + 35p Solving 12 + 4p = -60 + 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. 12 + 4p + -35p = -60 + 35p + -35p Combine like terms: 4p + -35p = -31p 12 + -31p = -60 + 35p + -35p Combine like terms: 35p + -35p = 0 12 + -31p = -60 + 0 12 + -31p = -60 Add '-12' to each side of the equation. 12 + -12 + -31p = -60 + -12 Combine like terms: 12 + -12 = 0 0 + -31p = -60 + -12 -31p = -60 + -12 Combine like terms: -60 + -12 = -72 -31p = -72 Divide each side by '-31'. p = 2.322580645 Simplifying p = 2.322580645
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