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Simplifying -42 = 3p + 4(3 + 6p) -42 = 3p + (3 * 4 + 6p * 4) -42 = 3p + (12 + 24p) Reorder the terms: -42 = 12 + 3p + 24p Combine like terms: 3p + 24p = 27p -42 = 12 + 27p Solving -42 = 12 + 27p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-27p' to each side of the equation. -42 + -27p = 12 + 27p + -27p Combine like terms: 27p + -27p = 0 -42 + -27p = 12 + 0 -42 + -27p = 12 Add '42' to each side of the equation. -42 + 42 + -27p = 12 + 42 Combine like terms: -42 + 42 = 0 0 + -27p = 12 + 42 -27p = 12 + 42 Combine like terms: 12 + 42 = 54 -27p = 54 Divide each side by '-27'. p = -2 Simplifying p = -2
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