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Simplifying -13p + -4(4 + -5p) = 4(p + -4) + -12 -13p + (4 * -4 + -5p * -4) = 4(p + -4) + -12 -13p + (-16 + 20p) = 4(p + -4) + -12 Reorder the terms: -16 + -13p + 20p = 4(p + -4) + -12 Combine like terms: -13p + 20p = 7p -16 + 7p = 4(p + -4) + -12 Reorder the terms: -16 + 7p = 4(-4 + p) + -12 -16 + 7p = (-4 * 4 + p * 4) + -12 -16 + 7p = (-16 + 4p) + -12 Reorder the terms: -16 + 7p = -16 + -12 + 4p Combine like terms: -16 + -12 = -28 -16 + 7p = -28 + 4p Solving -16 + 7p = -28 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -16 + 7p + -4p = -28 + 4p + -4p Combine like terms: 7p + -4p = 3p -16 + 3p = -28 + 4p + -4p Combine like terms: 4p + -4p = 0 -16 + 3p = -28 + 0 -16 + 3p = -28 Add '16' to each side of the equation. -16 + 16 + 3p = -28 + 16 Combine like terms: -16 + 16 = 0 0 + 3p = -28 + 16 3p = -28 + 16 Combine like terms: -28 + 16 = -12 3p = -12 Divide each side by '3'. p = -4 Simplifying p = -4
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