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Simplifying -7(3p + 4) + -11 = 3(2p + 5) Reorder the terms: -7(4 + 3p) + -11 = 3(2p + 5) (4 * -7 + 3p * -7) + -11 = 3(2p + 5) (-28 + -21p) + -11 = 3(2p + 5) Reorder the terms: -28 + -11 + -21p = 3(2p + 5) Combine like terms: -28 + -11 = -39 -39 + -21p = 3(2p + 5) Reorder the terms: -39 + -21p = 3(5 + 2p) -39 + -21p = (5 * 3 + 2p * 3) -39 + -21p = (15 + 6p) Solving -39 + -21p = 15 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -39 + -21p + -6p = 15 + 6p + -6p Combine like terms: -21p + -6p = -27p -39 + -27p = 15 + 6p + -6p Combine like terms: 6p + -6p = 0 -39 + -27p = 15 + 0 -39 + -27p = 15 Add '39' to each side of the equation. -39 + 39 + -27p = 15 + 39 Combine like terms: -39 + 39 = 0 0 + -27p = 15 + 39 -27p = 15 + 39 Combine like terms: 15 + 39 = 54 -27p = 54 Divide each side by '-27'. p = -2 Simplifying p = -2
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