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Simplifying 9(4p + -2) = 7p + 12(3p + 2) Reorder the terms: 9(-2 + 4p) = 7p + 12(3p + 2) (-2 * 9 + 4p * 9) = 7p + 12(3p + 2) (-18 + 36p) = 7p + 12(3p + 2) Reorder the terms: -18 + 36p = 7p + 12(2 + 3p) -18 + 36p = 7p + (2 * 12 + 3p * 12) -18 + 36p = 7p + (24 + 36p) Reorder the terms: -18 + 36p = 24 + 7p + 36p Combine like terms: 7p + 36p = 43p -18 + 36p = 24 + 43p Solving -18 + 36p = 24 + 43p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-43p' to each side of the equation. -18 + 36p + -43p = 24 + 43p + -43p Combine like terms: 36p + -43p = -7p -18 + -7p = 24 + 43p + -43p Combine like terms: 43p + -43p = 0 -18 + -7p = 24 + 0 -18 + -7p = 24 Add '18' to each side of the equation. -18 + 18 + -7p = 24 + 18 Combine like terms: -18 + 18 = 0 0 + -7p = 24 + 18 -7p = 24 + 18 Combine like terms: 24 + 18 = 42 -7p = 42 Divide each side by '-7'. p = -6 Simplifying p = -6
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