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Simplifying 5p + -2(2p + 4) = -2 + -3(4 + 3p) Reorder the terms: 5p + -2(4 + 2p) = -2 + -3(4 + 3p) 5p + (4 * -2 + 2p * -2) = -2 + -3(4 + 3p) 5p + (-8 + -4p) = -2 + -3(4 + 3p) Reorder the terms: -8 + 5p + -4p = -2 + -3(4 + 3p) Combine like terms: 5p + -4p = 1p -8 + 1p = -2 + -3(4 + 3p) -8 + 1p = -2 + (4 * -3 + 3p * -3) -8 + 1p = -2 + (-12 + -9p) Combine like terms: -2 + -12 = -14 -8 + 1p = -14 + -9p Solving -8 + 1p = -14 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -8 + 1p + 9p = -14 + -9p + 9p Combine like terms: 1p + 9p = 10p -8 + 10p = -14 + -9p + 9p Combine like terms: -9p + 9p = 0 -8 + 10p = -14 + 0 -8 + 10p = -14 Add '8' to each side of the equation. -8 + 8 + 10p = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 10p = -14 + 8 10p = -14 + 8 Combine like terms: -14 + 8 = -6 10p = -6 Divide each side by '10'. p = -0.6 Simplifying p = -0.6
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