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Simplifying 0.66(p + -12) = -1(2p + -1) + 7 Reorder the terms: 0.66(-12 + p) = -1(2p + -1) + 7 (-12 * 0.66 + p * 0.66) = -1(2p + -1) + 7 (-7.92 + 0.66p) = -1(2p + -1) + 7 Reorder the terms: -7.92 + 0.66p = -1(-1 + 2p) + 7 -7.92 + 0.66p = (-1 * -1 + 2p * -1) + 7 -7.92 + 0.66p = (1 + -2p) + 7 Reorder the terms: -7.92 + 0.66p = 1 + 7 + -2p Combine like terms: 1 + 7 = 8 -7.92 + 0.66p = 8 + -2p Solving -7.92 + 0.66p = 8 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -7.92 + 0.66p + 2p = 8 + -2p + 2p Combine like terms: 0.66p + 2p = 2.66p -7.92 + 2.66p = 8 + -2p + 2p Combine like terms: -2p + 2p = 0 -7.92 + 2.66p = 8 + 0 -7.92 + 2.66p = 8 Add '7.92' to each side of the equation. -7.92 + 7.92 + 2.66p = 8 + 7.92 Combine like terms: -7.92 + 7.92 = 0.00 0.00 + 2.66p = 8 + 7.92 2.66p = 8 + 7.92 Combine like terms: 8 + 7.92 = 15.92 2.66p = 15.92 Divide each side by '2.66'. p = 5.984962406 Simplifying p = 5.984962406
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