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Simplifying -3(2p + 4) = -15 + -5p Reorder the terms: -3(4 + 2p) = -15 + -5p (4 * -3 + 2p * -3) = -15 + -5p (-12 + -6p) = -15 + -5p Solving -12 + -6p = -15 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -12 + -6p + 5p = -15 + -5p + 5p Combine like terms: -6p + 5p = -1p -12 + -1p = -15 + -5p + 5p Combine like terms: -5p + 5p = 0 -12 + -1p = -15 + 0 -12 + -1p = -15 Add '12' to each side of the equation. -12 + 12 + -1p = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -1p = -15 + 12 -1p = -15 + 12 Combine like terms: -15 + 12 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3
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