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Simplifying -5(1 + 7p) + -6(-7 + -1P) = 36 (1 * -5 + 7p * -5) + -6(-7 + -1P) = 36 (-5 + -35p) + -6(-7 + -1P) = 36 -5 + -35p + (-7 * -6 + -1P * -6) = 36 -5 + -35p + (42 + 6P) = 36 Reorder the terms: -5 + 42 + 6P + -35p = 36 Combine like terms: -5 + 42 = 37 37 + 6P + -35p = 36 Solving 37 + 6P + -35p = 36 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + 6P + -37 + -35p = 36 + -37 Reorder the terms: 37 + -37 + 6P + -35p = 36 + -37 Combine like terms: 37 + -37 = 0 0 + 6P + -35p = 36 + -37 6P + -35p = 36 + -37 Combine like terms: 36 + -37 = -1 6P + -35p = -1 Add '35p' to each side of the equation. 6P + -35p + 35p = -1 + 35p Combine like terms: -35p + 35p = 0 6P + 0 = -1 + 35p 6P = -1 + 35p Divide each side by '6'. P = -0.1666666667 + 5.833333333p Simplifying P = -0.1666666667 + 5.833333333p
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