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Simplifying -7p + -2(6 + -6p) = 3(p + -3) + -15 -7p + (6 * -2 + -6p * -2) = 3(p + -3) + -15 -7p + (-12 + 12p) = 3(p + -3) + -15 Reorder the terms: -12 + -7p + 12p = 3(p + -3) + -15 Combine like terms: -7p + 12p = 5p -12 + 5p = 3(p + -3) + -15 Reorder the terms: -12 + 5p = 3(-3 + p) + -15 -12 + 5p = (-3 * 3 + p * 3) + -15 -12 + 5p = (-9 + 3p) + -15 Reorder the terms: -12 + 5p = -9 + -15 + 3p Combine like terms: -9 + -15 = -24 -12 + 5p = -24 + 3p Solving -12 + 5p = -24 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -12 + 5p + -3p = -24 + 3p + -3p Combine like terms: 5p + -3p = 2p -12 + 2p = -24 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + 2p = -24 + 0 -12 + 2p = -24 Add '12' to each side of the equation. -12 + 12 + 2p = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 2p = -24 + 12 2p = -24 + 12 Combine like terms: -24 + 12 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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