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Simplifying -13p + -4(4 + -5p) = 3(p + -6) + -14 -13p + (4 * -4 + -5p * -4) = 3(p + -6) + -14 -13p + (-16 + 20p) = 3(p + -6) + -14 Reorder the terms: -16 + -13p + 20p = 3(p + -6) + -14 Combine like terms: -13p + 20p = 7p -16 + 7p = 3(p + -6) + -14 Reorder the terms: -16 + 7p = 3(-6 + p) + -14 -16 + 7p = (-6 * 3 + p * 3) + -14 -16 + 7p = (-18 + 3p) + -14 Reorder the terms: -16 + 7p = -18 + -14 + 3p Combine like terms: -18 + -14 = -32 -16 + 7p = -32 + 3p Solving -16 + 7p = -32 + 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. -16 + 7p + -3p = -32 + 3p + -3p Combine like terms: 7p + -3p = 4p -16 + 4p = -32 + 3p + -3p Combine like terms: 3p + -3p = 0 -16 + 4p = -32 + 0 -16 + 4p = -32 Add '16' to each side of the equation. -16 + 16 + 4p = -32 + 16 Combine like terms: -16 + 16 = 0 0 + 4p = -32 + 16 4p = -32 + 16 Combine like terms: -32 + 16 = -16 4p = -16 Divide each side by '4'. p = -4 Simplifying p = -4
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