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Simplifying 4(7p + -9) + -6 = 4p + 9 Reorder the terms: 4(-9 + 7p) + -6 = 4p + 9 (-9 * 4 + 7p * 4) + -6 = 4p + 9 (-36 + 28p) + -6 = 4p + 9 Reorder the terms: -36 + -6 + 28p = 4p + 9 Combine like terms: -36 + -6 = -42 -42 + 28p = 4p + 9 Reorder the terms: -42 + 28p = 9 + 4p Solving -42 + 28p = 9 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -42 + 28p + -4p = 9 + 4p + -4p Combine like terms: 28p + -4p = 24p -42 + 24p = 9 + 4p + -4p Combine like terms: 4p + -4p = 0 -42 + 24p = 9 + 0 -42 + 24p = 9 Add '42' to each side of the equation. -42 + 42 + 24p = 9 + 42 Combine like terms: -42 + 42 = 0 0 + 24p = 9 + 42 24p = 9 + 42 Combine like terms: 9 + 42 = 51 24p = 51 Divide each side by '24'. p = 2.125 Simplifying p = 2.125
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