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Simplifying 4(7p + -9) + -6p = 4p + 9 Reorder the terms: 4(-9 + 7p) + -6p = 4p + 9 (-9 * 4 + 7p * 4) + -6p = 4p + 9 (-36 + 28p) + -6p = 4p + 9 Combine like terms: 28p + -6p = 22p -36 + 22p = 4p + 9 Reorder the terms: -36 + 22p = 9 + 4p Solving -36 + 22p = 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. -36 + 22p + -4p = 9 + 4p + -4p Combine like terms: 22p + -4p = 18p -36 + 18p = 9 + 4p + -4p Combine like terms: 4p + -4p = 0 -36 + 18p = 9 + 0 -36 + 18p = 9 Add '36' to each side of the equation. -36 + 36 + 18p = 9 + 36 Combine like terms: -36 + 36 = 0 0 + 18p = 9 + 36 18p = 9 + 36 Combine like terms: 9 + 36 = 45 18p = 45 Divide each side by '18'. p = 2.5 Simplifying p = 2.5
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