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Simplifying -13p + -3(2 + -6p) = 3(p + -6) + -4 -13p + (2 * -3 + -6p * -3) = 3(p + -6) + -4 -13p + (-6 + 18p) = 3(p + -6) + -4 Reorder the terms: -6 + -13p + 18p = 3(p + -6) + -4 Combine like terms: -13p + 18p = 5p -6 + 5p = 3(p + -6) + -4 Reorder the terms: -6 + 5p = 3(-6 + p) + -4 -6 + 5p = (-6 * 3 + p * 3) + -4 -6 + 5p = (-18 + 3p) + -4 Reorder the terms: -6 + 5p = -18 + -4 + 3p Combine like terms: -18 + -4 = -22 -6 + 5p = -22 + 3p Solving -6 + 5p = -22 + 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. -6 + 5p + -3p = -22 + 3p + -3p Combine like terms: 5p + -3p = 2p -6 + 2p = -22 + 3p + -3p Combine like terms: 3p + -3p = 0 -6 + 2p = -22 + 0 -6 + 2p = -22 Add '6' to each side of the equation. -6 + 6 + 2p = -22 + 6 Combine like terms: -6 + 6 = 0 0 + 2p = -22 + 6 2p = -22 + 6 Combine like terms: -22 + 6 = -16 2p = -16 Divide each side by '2'. p = -8 Simplifying p = -8
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