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Simplifying -5p + -7 = -6(p + 6) + -1(-5 + 2p) Reorder the terms: -7 + -5p = -6(p + 6) + -1(-5 + 2p) Reorder the terms: -7 + -5p = -6(6 + p) + -1(-5 + 2p) -7 + -5p = (6 * -6 + p * -6) + -1(-5 + 2p) -7 + -5p = (-36 + -6p) + -1(-5 + 2p) -7 + -5p = -36 + -6p + (-5 * -1 + 2p * -1) -7 + -5p = -36 + -6p + (5 + -2p) Reorder the terms: -7 + -5p = -36 + 5 + -6p + -2p Combine like terms: -36 + 5 = -31 -7 + -5p = -31 + -6p + -2p Combine like terms: -6p + -2p = -8p -7 + -5p = -31 + -8p Solving -7 + -5p = -31 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -7 + -5p + 8p = -31 + -8p + 8p Combine like terms: -5p + 8p = 3p -7 + 3p = -31 + -8p + 8p Combine like terms: -8p + 8p = 0 -7 + 3p = -31 + 0 -7 + 3p = -31 Add '7' to each side of the equation. -7 + 7 + 3p = -31 + 7 Combine like terms: -7 + 7 = 0 0 + 3p = -31 + 7 3p = -31 + 7 Combine like terms: -31 + 7 = -24 3p = -24 Divide each side by '3'. p = -8 Simplifying p = -8
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