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Simplifying 3(3p + -2) + -4(p + 3) = 7 Reorder the terms: 3(-2 + 3p) + -4(p + 3) = 7 (-2 * 3 + 3p * 3) + -4(p + 3) = 7 (-6 + 9p) + -4(p + 3) = 7 Reorder the terms: -6 + 9p + -4(3 + p) = 7 -6 + 9p + (3 * -4 + p * -4) = 7 -6 + 9p + (-12 + -4p) = 7 Reorder the terms: -6 + -12 + 9p + -4p = 7 Combine like terms: -6 + -12 = -18 -18 + 9p + -4p = 7 Combine like terms: 9p + -4p = 5p -18 + 5p = 7 Solving -18 + 5p = 7 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 5p = 7 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = 7 + 18 5p = 7 + 18 Combine like terms: 7 + 18 = 25 5p = 25 Divide each side by '5'. p = 5 Simplifying p = 5
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