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Simplifying -6p + 11 + 10P = 4(P + 2) + -7 Reorder the terms: 11 + 10P + -6p = 4(P + 2) + -7 Reorder the terms: 11 + 10P + -6p = 4(2 + P) + -7 11 + 10P + -6p = (2 * 4 + P * 4) + -7 11 + 10P + -6p = (8 + 4P) + -7 Reorder the terms: 11 + 10P + -6p = 8 + -7 + 4P Combine like terms: 8 + -7 = 1 11 + 10P + -6p = 1 + 4P Solving 11 + 10P + -6p = 1 + 4P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-4P' to each side of the equation. 11 + 10P + -4P + -6p = 1 + 4P + -4P Combine like terms: 10P + -4P = 6P 11 + 6P + -6p = 1 + 4P + -4P Combine like terms: 4P + -4P = 0 11 + 6P + -6p = 1 + 0 11 + 6P + -6p = 1 Add '-11' to each side of the equation. 11 + 6P + -11 + -6p = 1 + -11 Reorder the terms: 11 + -11 + 6P + -6p = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 6P + -6p = 1 + -11 6P + -6p = 1 + -11 Combine like terms: 1 + -11 = -10 6P + -6p = -10 Add '6p' to each side of the equation. 6P + -6p + 6p = -10 + 6p Combine like terms: -6p + 6p = 0 6P + 0 = -10 + 6p 6P = -10 + 6p Divide each side by '6'. P = -1.666666667 + p Simplifying P = -1.666666667 + p
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