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Simplifying -6(5p + 3) + -42 = 4(3p + 6) Reorder the terms: -6(3 + 5p) + -42 = 4(3p + 6) (3 * -6 + 5p * -6) + -42 = 4(3p + 6) (-18 + -30p) + -42 = 4(3p + 6) Reorder the terms: -18 + -42 + -30p = 4(3p + 6) Combine like terms: -18 + -42 = -60 -60 + -30p = 4(3p + 6) Reorder the terms: -60 + -30p = 4(6 + 3p) -60 + -30p = (6 * 4 + 3p * 4) -60 + -30p = (24 + 12p) Solving -60 + -30p = 24 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -60 + -30p + -12p = 24 + 12p + -12p Combine like terms: -30p + -12p = -42p -60 + -42p = 24 + 12p + -12p Combine like terms: 12p + -12p = 0 -60 + -42p = 24 + 0 -60 + -42p = 24 Add '60' to each side of the equation. -60 + 60 + -42p = 24 + 60 Combine like terms: -60 + 60 = 0 0 + -42p = 24 + 60 -42p = 24 + 60 Combine like terms: 24 + 60 = 84 -42p = 84 Divide each side by '-42'. p = -2 Simplifying p = -2
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