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Simplifying -4(3p + 2) + -46 = 3(4p + 6) Reorder the terms: -4(2 + 3p) + -46 = 3(4p + 6) (2 * -4 + 3p * -4) + -46 = 3(4p + 6) (-8 + -12p) + -46 = 3(4p + 6) Reorder the terms: -8 + -46 + -12p = 3(4p + 6) Combine like terms: -8 + -46 = -54 -54 + -12p = 3(4p + 6) Reorder the terms: -54 + -12p = 3(6 + 4p) -54 + -12p = (6 * 3 + 4p * 3) -54 + -12p = (18 + 12p) Solving -54 + -12p = 18 + 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. -54 + -12p + -12p = 18 + 12p + -12p Combine like terms: -12p + -12p = -24p -54 + -24p = 18 + 12p + -12p Combine like terms: 12p + -12p = 0 -54 + -24p = 18 + 0 -54 + -24p = 18 Add '54' to each side of the equation. -54 + 54 + -24p = 18 + 54 Combine like terms: -54 + 54 = 0 0 + -24p = 18 + 54 -24p = 18 + 54 Combine like terms: 18 + 54 = 72 -24p = 72 Divide each side by '-24'. p = -3 Simplifying p = -3
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