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Simplifying 2(p + -6) + -8(5p + 2) = -38 Reorder the terms: 2(-6 + p) + -8(5p + 2) = -38 (-6 * 2 + p * 2) + -8(5p + 2) = -38 (-12 + 2p) + -8(5p + 2) = -38 Reorder the terms: -12 + 2p + -8(2 + 5p) = -38 -12 + 2p + (2 * -8 + 5p * -8) = -38 -12 + 2p + (-16 + -40p) = -38 Reorder the terms: -12 + -16 + 2p + -40p = -38 Combine like terms: -12 + -16 = -28 -28 + 2p + -40p = -38 Combine like terms: 2p + -40p = -38p -28 + -38p = -38 Solving -28 + -38p = -38 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -38p = -38 + 28 Combine like terms: -28 + 28 = 0 0 + -38p = -38 + 28 -38p = -38 + 28 Combine like terms: -38 + 28 = -10 -38p = -10 Divide each side by '-38'. p = 0.2631578947 Simplifying p = 0.2631578947
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