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Simplifying 0.142857(14 + -7p + -2) = 2(0.5p + 3) + 6 Reorder the terms: 0.142857(14 + -2 + -7p) = 2(0.5p + 3) + 6 Combine like terms: 14 + -2 = 12 0.142857(12 + -7p) = 2(0.5p + 3) + 6 (12 * 0.142857 + -7p * 0.142857) = 2(0.5p + 3) + 6 (1.714284 + -0.999999p) = 2(0.5p + 3) + 6 Reorder the terms: 1.714284 + -0.999999p = 2(3 + 0.5p) + 6 1.714284 + -0.999999p = (3 * 2 + 0.5p * 2) + 6 1.714284 + -0.999999p = (6 + 1p) + 6 Reorder the terms: 1.714284 + -0.999999p = 6 + 6 + 1p Combine like terms: 6 + 6 = 12 1.714284 + -0.999999p = 12 + 1p Solving 1.714284 + -0.999999p = 12 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 1.714284 + -0.999999p + -1p = 12 + 1p + -1p Combine like terms: -0.999999p + -1p = -1.999999p 1.714284 + -1.999999p = 12 + 1p + -1p Combine like terms: 1p + -1p = 0 1.714284 + -1.999999p = 12 + 0 1.714284 + -1.999999p = 12 Add '-1.714284' to each side of the equation. 1.714284 + -1.714284 + -1.999999p = 12 + -1.714284 Combine like terms: 1.714284 + -1.714284 = 0.000000 0.000000 + -1.999999p = 12 + -1.714284 -1.999999p = 12 + -1.714284 Combine like terms: 12 + -1.714284 = 10.285716 -1.999999p = 10.285716 Divide each side by '-1.999999'. p = -5.142860571 Simplifying p = -5.142860571
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