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Simplifying -6(5p + 6) + 7(p + 5) = 0 Reorder the terms: -6(6 + 5p) + 7(p + 5) = 0 (6 * -6 + 5p * -6) + 7(p + 5) = 0 (-36 + -30p) + 7(p + 5) = 0 Reorder the terms: -36 + -30p + 7(5 + p) = 0 -36 + -30p + (5 * 7 + p * 7) = 0 -36 + -30p + (35 + 7p) = 0 Reorder the terms: -36 + 35 + -30p + 7p = 0 Combine like terms: -36 + 35 = -1 -1 + -30p + 7p = 0 Combine like terms: -30p + 7p = -23p -1 + -23p = 0 Solving -1 + -23p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -23p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -23p = 0 + 1 -23p = 0 + 1 Combine like terms: 0 + 1 = 1 -23p = 1 Divide each side by '-23'. p = -0.04347826087 Simplifying p = -0.04347826087
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