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Simplifying 5(1 + 2p) + -7 = -4(2 + -3p) (1 * 5 + 2p * 5) + -7 = -4(2 + -3p) (5 + 10p) + -7 = -4(2 + -3p) Reorder the terms: 5 + -7 + 10p = -4(2 + -3p) Combine like terms: 5 + -7 = -2 -2 + 10p = -4(2 + -3p) -2 + 10p = (2 * -4 + -3p * -4) -2 + 10p = (-8 + 12p) Solving -2 + 10p = -8 + 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. -2 + 10p + -12p = -8 + 12p + -12p Combine like terms: 10p + -12p = -2p -2 + -2p = -8 + 12p + -12p Combine like terms: 12p + -12p = 0 -2 + -2p = -8 + 0 -2 + -2p = -8 Add '2' to each side of the equation. -2 + 2 + -2p = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -2p = -8 + 2 -2p = -8 + 2 Combine like terms: -8 + 2 = -6 -2p = -6 Divide each side by '-2'. p = 3 Simplifying p = 3
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