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Simplifying -6p + -7p = -3(p + 8) + 2(p + -6) Combine like terms: -6p + -7p = -13p -13p = -3(p + 8) + 2(p + -6) Reorder the terms: -13p = -3(8 + p) + 2(p + -6) -13p = (8 * -3 + p * -3) + 2(p + -6) -13p = (-24 + -3p) + 2(p + -6) Reorder the terms: -13p = -24 + -3p + 2(-6 + p) -13p = -24 + -3p + (-6 * 2 + p * 2) -13p = -24 + -3p + (-12 + 2p) Reorder the terms: -13p = -24 + -12 + -3p + 2p Combine like terms: -24 + -12 = -36 -13p = -36 + -3p + 2p Combine like terms: -3p + 2p = -1p -13p = -36 + -1p Solving -13p = -36 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -13p + p = -36 + -1p + p Combine like terms: -13p + p = -12p -12p = -36 + -1p + p Combine like terms: -1p + p = 0 -12p = -36 + 0 -12p = -36 Divide each side by '-12'. p = 3 Simplifying p = 3
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