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Simplifying -6(3p + 4) + -24 = 2(5p + 4) Reorder the terms: -6(4 + 3p) + -24 = 2(5p + 4) (4 * -6 + 3p * -6) + -24 = 2(5p + 4) (-24 + -18p) + -24 = 2(5p + 4) Reorder the terms: -24 + -24 + -18p = 2(5p + 4) Combine like terms: -24 + -24 = -48 -48 + -18p = 2(5p + 4) Reorder the terms: -48 + -18p = 2(4 + 5p) -48 + -18p = (4 * 2 + 5p * 2) -48 + -18p = (8 + 10p) Solving -48 + -18p = 8 + 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. -48 + -18p + -10p = 8 + 10p + -10p Combine like terms: -18p + -10p = -28p -48 + -28p = 8 + 10p + -10p Combine like terms: 10p + -10p = 0 -48 + -28p = 8 + 0 -48 + -28p = 8 Add '48' to each side of the equation. -48 + 48 + -28p = 8 + 48 Combine like terms: -48 + 48 = 0 0 + -28p = 8 + 48 -28p = 8 + 48 Combine like terms: 8 + 48 = 56 -28p = 56 Divide each side by '-28'. p = -2 Simplifying p = -2
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