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Simplifying 9 + 7(4p + -6) + -3(p + 7) + 2 = 0 Reorder the terms: 9 + 7(-6 + 4p) + -3(p + 7) + 2 = 0 9 + (-6 * 7 + 4p * 7) + -3(p + 7) + 2 = 0 9 + (-42 + 28p) + -3(p + 7) + 2 = 0 Reorder the terms: 9 + -42 + 28p + -3(7 + p) + 2 = 0 9 + -42 + 28p + (7 * -3 + p * -3) + 2 = 0 9 + -42 + 28p + (-21 + -3p) + 2 = 0 Reorder the terms: 9 + -42 + -21 + 2 + 28p + -3p = 0 Combine like terms: 9 + -42 = -33 -33 + -21 + 2 + 28p + -3p = 0 Combine like terms: -33 + -21 = -54 -54 + 2 + 28p + -3p = 0 Combine like terms: -54 + 2 = -52 -52 + 28p + -3p = 0 Combine like terms: 28p + -3p = 25p -52 + 25p = 0 Solving -52 + 25p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 25p = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 25p = 0 + 52 25p = 0 + 52 Combine like terms: 0 + 52 = 52 25p = 52 Divide each side by '25'. p = 2.08 Simplifying p = 2.08
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