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Simplifying -1(6 + -2p) + -3 = -1p + 2(-1p + -7) (6 * -1 + -2p * -1) + -3 = -1p + 2(-1p + -7) (-6 + 2p) + -3 = -1p + 2(-1p + -7) Reorder the terms: -6 + -3 + 2p = -1p + 2(-1p + -7) Combine like terms: -6 + -3 = -9 -9 + 2p = -1p + 2(-1p + -7) Reorder the terms: -9 + 2p = -1p + 2(-7 + -1p) -9 + 2p = -1p + (-7 * 2 + -1p * 2) -9 + 2p = -1p + (-14 + -2p) Reorder the terms: -9 + 2p = -14 + -1p + -2p Combine like terms: -1p + -2p = -3p -9 + 2p = -14 + -3p Solving -9 + 2p = -14 + -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. -9 + 2p + 3p = -14 + -3p + 3p Combine like terms: 2p + 3p = 5p -9 + 5p = -14 + -3p + 3p Combine like terms: -3p + 3p = 0 -9 + 5p = -14 + 0 -9 + 5p = -14 Add '9' to each side of the equation. -9 + 9 + 5p = -14 + 9 Combine like terms: -9 + 9 = 0 0 + 5p = -14 + 9 5p = -14 + 9 Combine like terms: -14 + 9 = -5 5p = -5 Divide each side by '5'. p = -1 Simplifying p = -1
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