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Simplifying 10p2(p + 1) = 6(p + 1) + -7p(p + 1) Reorder the terms: 10p2(1 + p) = 6(p + 1) + -7p(p + 1) (1 * 10p2 + p * 10p2) = 6(p + 1) + -7p(p + 1) (10p2 + 10p3) = 6(p + 1) + -7p(p + 1) Reorder the terms: 10p2 + 10p3 = 6(1 + p) + -7p(p + 1) 10p2 + 10p3 = (1 * 6 + p * 6) + -7p(p + 1) 10p2 + 10p3 = (6 + 6p) + -7p(p + 1) Reorder the terms: 10p2 + 10p3 = 6 + 6p + -7p(1 + p) 10p2 + 10p3 = 6 + 6p + (1 * -7p + p * -7p) 10p2 + 10p3 = 6 + 6p + (-7p + -7p2) Combine like terms: 6p + -7p = -1p 10p2 + 10p3 = 6 + -1p + -7p2 Solving 10p2 + 10p3 = 6 + -1p + -7p2 Solving for variable 'p'. Reorder the terms: -6 + p + 10p2 + 7p2 + 10p3 = 6 + -1p + -7p2 + -6 + p + 7p2 Combine like terms: 10p2 + 7p2 = 17p2 -6 + p + 17p2 + 10p3 = 6 + -1p + -7p2 + -6 + p + 7p2 Reorder the terms: -6 + p + 17p2 + 10p3 = 6 + -6 + -1p + p + -7p2 + 7p2 Combine like terms: 6 + -6 = 0 -6 + p + 17p2 + 10p3 = 0 + -1p + p + -7p2 + 7p2 -6 + p + 17p2 + 10p3 = -1p + p + -7p2 + 7p2 Combine like terms: -1p + p = 0 -6 + p + 17p2 + 10p3 = 0 + -7p2 + 7p2 -6 + p + 17p2 + 10p3 = -7p2 + 7p2 Combine like terms: -7p2 + 7p2 = 0 -6 + p + 17p2 + 10p3 = 0 The solution to this equation could not be determined.
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