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Simplifying -6(4p + 2) + -45 = 3(5p + 7) Reorder the terms: -6(2 + 4p) + -45 = 3(5p + 7) (2 * -6 + 4p * -6) + -45 = 3(5p + 7) (-12 + -24p) + -45 = 3(5p + 7) Reorder the terms: -12 + -45 + -24p = 3(5p + 7) Combine like terms: -12 + -45 = -57 -57 + -24p = 3(5p + 7) Reorder the terms: -57 + -24p = 3(7 + 5p) -57 + -24p = (7 * 3 + 5p * 3) -57 + -24p = (21 + 15p) Solving -57 + -24p = 21 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -57 + -24p + -15p = 21 + 15p + -15p Combine like terms: -24p + -15p = -39p -57 + -39p = 21 + 15p + -15p Combine like terms: 15p + -15p = 0 -57 + -39p = 21 + 0 -57 + -39p = 21 Add '57' to each side of the equation. -57 + 57 + -39p = 21 + 57 Combine like terms: -57 + 57 = 0 0 + -39p = 21 + 57 -39p = 21 + 57 Combine like terms: 21 + 57 = 78 -39p = 78 Divide each side by '-39'. p = -2 Simplifying p = -2
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