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Simplifying 5(2p + -5) + 2(p + -3) = 4(p + -1) Reorder the terms: 5(-5 + 2p) + 2(p + -3) = 4(p + -1) (-5 * 5 + 2p * 5) + 2(p + -3) = 4(p + -1) (-25 + 10p) + 2(p + -3) = 4(p + -1) Reorder the terms: -25 + 10p + 2(-3 + p) = 4(p + -1) -25 + 10p + (-3 * 2 + p * 2) = 4(p + -1) -25 + 10p + (-6 + 2p) = 4(p + -1) Reorder the terms: -25 + -6 + 10p + 2p = 4(p + -1) Combine like terms: -25 + -6 = -31 -31 + 10p + 2p = 4(p + -1) Combine like terms: 10p + 2p = 12p -31 + 12p = 4(p + -1) Reorder the terms: -31 + 12p = 4(-1 + p) -31 + 12p = (-1 * 4 + p * 4) -31 + 12p = (-4 + 4p) Solving -31 + 12p = -4 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -31 + 12p + -4p = -4 + 4p + -4p Combine like terms: 12p + -4p = 8p -31 + 8p = -4 + 4p + -4p Combine like terms: 4p + -4p = 0 -31 + 8p = -4 + 0 -31 + 8p = -4 Add '31' to each side of the equation. -31 + 31 + 8p = -4 + 31 Combine like terms: -31 + 31 = 0 0 + 8p = -4 + 31 8p = -4 + 31 Combine like terms: -4 + 31 = 27 8p = 27 Divide each side by '8'. p = 3.375 Simplifying p = 3.375
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