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Simplifying 4(2p + 3) + -30 = 3(3p + 3) Reorder the terms: 4(3 + 2p) + -30 = 3(3p + 3) (3 * 4 + 2p * 4) + -30 = 3(3p + 3) (12 + 8p) + -30 = 3(3p + 3) Reorder the terms: 12 + -30 + 8p = 3(3p + 3) Combine like terms: 12 + -30 = -18 -18 + 8p = 3(3p + 3) Reorder the terms: -18 + 8p = 3(3 + 3p) -18 + 8p = (3 * 3 + 3p * 3) -18 + 8p = (9 + 9p) Solving -18 + 8p = 9 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -18 + 8p + -9p = 9 + 9p + -9p Combine like terms: 8p + -9p = -1p -18 + -1p = 9 + 9p + -9p Combine like terms: 9p + -9p = 0 -18 + -1p = 9 + 0 -18 + -1p = 9 Add '18' to each side of the equation. -18 + 18 + -1p = 9 + 18 Combine like terms: -18 + 18 = 0 0 + -1p = 9 + 18 -1p = 9 + 18 Combine like terms: 9 + 18 = 27 -1p = 27 Divide each side by '-1'. p = -27 Simplifying p = -27
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