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Simplifying -6(3p + 4) + -18 = 2(5p + 7) Reorder the terms: -6(4 + 3p) + -18 = 2(5p + 7) (4 * -6 + 3p * -6) + -18 = 2(5p + 7) (-24 + -18p) + -18 = 2(5p + 7) Reorder the terms: -24 + -18 + -18p = 2(5p + 7) Combine like terms: -24 + -18 = -42 -42 + -18p = 2(5p + 7) Reorder the terms: -42 + -18p = 2(7 + 5p) -42 + -18p = (7 * 2 + 5p * 2) -42 + -18p = (14 + 10p) Solving -42 + -18p = 14 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -42 + -18p + -10p = 14 + 10p + -10p Combine like terms: -18p + -10p = -28p -42 + -28p = 14 + 10p + -10p Combine like terms: 10p + -10p = 0 -42 + -28p = 14 + 0 -42 + -28p = 14 Add '42' to each side of the equation. -42 + 42 + -28p = 14 + 42 Combine like terms: -42 + 42 = 0 0 + -28p = 14 + 42 -28p = 14 + 42 Combine like terms: 14 + 42 = 56 -28p = 56 Divide each side by '-28'. p = -2 Simplifying p = -2
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