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Simplifying p + -7 = 9(4p + -10) + 4(2 + -9p) Reorder the terms: -7 + p = 9(4p + -10) + 4(2 + -9p) Reorder the terms: -7 + p = 9(-10 + 4p) + 4(2 + -9p) -7 + p = (-10 * 9 + 4p * 9) + 4(2 + -9p) -7 + p = (-90 + 36p) + 4(2 + -9p) -7 + p = -90 + 36p + (2 * 4 + -9p * 4) -7 + p = -90 + 36p + (8 + -36p) Reorder the terms: -7 + p = -90 + 8 + 36p + -36p Combine like terms: -90 + 8 = -82 -7 + p = -82 + 36p + -36p Combine like terms: 36p + -36p = 0 -7 + p = -82 + 0 -7 + p = -82 Solving -7 + p = -82 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + p = -82 + 7 Combine like terms: -7 + 7 = 0 0 + p = -82 + 7 p = -82 + 7 Combine like terms: -82 + 7 = -75 p = -75 Simplifying p = -75
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