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Simplifying -7(3p + 4) + -2 = 3(2p + 8) Reorder the terms: -7(4 + 3p) + -2 = 3(2p + 8) (4 * -7 + 3p * -7) + -2 = 3(2p + 8) (-28 + -21p) + -2 = 3(2p + 8) Reorder the terms: -28 + -2 + -21p = 3(2p + 8) Combine like terms: -28 + -2 = -30 -30 + -21p = 3(2p + 8) Reorder the terms: -30 + -21p = 3(8 + 2p) -30 + -21p = (8 * 3 + 2p * 3) -30 + -21p = (24 + 6p) Solving -30 + -21p = 24 + 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. -30 + -21p + -6p = 24 + 6p + -6p Combine like terms: -21p + -6p = -27p -30 + -27p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + -27p = 24 + 0 -30 + -27p = 24 Add '30' to each side of the equation. -30 + 30 + -27p = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -27p = 24 + 30 -27p = 24 + 30 Combine like terms: 24 + 30 = 54 -27p = 54 Divide each side by '-27'. p = -2 Simplifying p = -2
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