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Simplifying -6(2p + 4) + -30 = 5(4p + 2) Reorder the terms: -6(4 + 2p) + -30 = 5(4p + 2) (4 * -6 + 2p * -6) + -30 = 5(4p + 2) (-24 + -12p) + -30 = 5(4p + 2) Reorder the terms: -24 + -30 + -12p = 5(4p + 2) Combine like terms: -24 + -30 = -54 -54 + -12p = 5(4p + 2) Reorder the terms: -54 + -12p = 5(2 + 4p) -54 + -12p = (2 * 5 + 4p * 5) -54 + -12p = (10 + 20p) Solving -54 + -12p = 10 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -54 + -12p + -20p = 10 + 20p + -20p Combine like terms: -12p + -20p = -32p -54 + -32p = 10 + 20p + -20p Combine like terms: 20p + -20p = 0 -54 + -32p = 10 + 0 -54 + -32p = 10 Add '54' to each side of the equation. -54 + 54 + -32p = 10 + 54 Combine like terms: -54 + 54 = 0 0 + -32p = 10 + 54 -32p = 10 + 54 Combine like terms: 10 + 54 = 64 -32p = 64 Divide each side by '-32'. p = -2 Simplifying p = -2
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