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Simplifying -6(5p + 4) + -42 = 3(3p + 4) Reorder the terms: -6(4 + 5p) + -42 = 3(3p + 4) (4 * -6 + 5p * -6) + -42 = 3(3p + 4) (-24 + -30p) + -42 = 3(3p + 4) Reorder the terms: -24 + -42 + -30p = 3(3p + 4) Combine like terms: -24 + -42 = -66 -66 + -30p = 3(3p + 4) Reorder the terms: -66 + -30p = 3(4 + 3p) -66 + -30p = (4 * 3 + 3p * 3) -66 + -30p = (12 + 9p) Solving -66 + -30p = 12 + 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. -66 + -30p + -9p = 12 + 9p + -9p Combine like terms: -30p + -9p = -39p -66 + -39p = 12 + 9p + -9p Combine like terms: 9p + -9p = 0 -66 + -39p = 12 + 0 -66 + -39p = 12 Add '66' to each side of the equation. -66 + 66 + -39p = 12 + 66 Combine like terms: -66 + 66 = 0 0 + -39p = 12 + 66 -39p = 12 + 66 Combine like terms: 12 + 66 = 78 -39p = 78 Divide each side by '-39'. p = -2 Simplifying p = -2
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