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Simplifying -6(3p + 4) + -30 = 3(2p + 6) Reorder the terms: -6(4 + 3p) + -30 = 3(2p + 6) (4 * -6 + 3p * -6) + -30 = 3(2p + 6) (-24 + -18p) + -30 = 3(2p + 6) Reorder the terms: -24 + -30 + -18p = 3(2p + 6) Combine like terms: -24 + -30 = -54 -54 + -18p = 3(2p + 6) Reorder the terms: -54 + -18p = 3(6 + 2p) -54 + -18p = (6 * 3 + 2p * 3) -54 + -18p = (18 + 6p) Solving -54 + -18p = 18 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -54 + -18p + -6p = 18 + 6p + -6p Combine like terms: -18p + -6p = -24p -54 + -24p = 18 + 6p + -6p Combine like terms: 6p + -6p = 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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