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Simplifying 6 + 5(5p + -6) + -4(p + 5) + 8 = 0 Reorder the terms: 6 + 5(-6 + 5p) + -4(p + 5) + 8 = 0 6 + (-6 * 5 + 5p * 5) + -4(p + 5) + 8 = 0 6 + (-30 + 25p) + -4(p + 5) + 8 = 0 Reorder the terms: 6 + -30 + 25p + -4(5 + p) + 8 = 0 6 + -30 + 25p + (5 * -4 + p * -4) + 8 = 0 6 + -30 + 25p + (-20 + -4p) + 8 = 0 Reorder the terms: 6 + -30 + -20 + 8 + 25p + -4p = 0 Combine like terms: 6 + -30 = -24 -24 + -20 + 8 + 25p + -4p = 0 Combine like terms: -24 + -20 = -44 -44 + 8 + 25p + -4p = 0 Combine like terms: -44 + 8 = -36 -36 + 25p + -4p = 0 Combine like terms: 25p + -4p = 21p -36 + 21p = 0 Solving -36 + 21p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 21p = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 21p = 0 + 36 21p = 0 + 36 Combine like terms: 0 + 36 = 36 21p = 36 Divide each side by '21'. p = 1.714285714 Simplifying p = 1.714285714
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