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Simplifying -13p + -4(3 + -5p) = 3(p + -6) + -22 -13p + (3 * -4 + -5p * -4) = 3(p + -6) + -22 -13p + (-12 + 20p) = 3(p + -6) + -22 Reorder the terms: -12 + -13p + 20p = 3(p + -6) + -22 Combine like terms: -13p + 20p = 7p -12 + 7p = 3(p + -6) + -22 Reorder the terms: -12 + 7p = 3(-6 + p) + -22 -12 + 7p = (-6 * 3 + p * 3) + -22 -12 + 7p = (-18 + 3p) + -22 Reorder the terms: -12 + 7p = -18 + -22 + 3p Combine like terms: -18 + -22 = -40 -12 + 7p = -40 + 3p Solving -12 + 7p = -40 + 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. -12 + 7p + -3p = -40 + 3p + -3p Combine like terms: 7p + -3p = 4p -12 + 4p = -40 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + 4p = -40 + 0 -12 + 4p = -40 Add '12' to each side of the equation. -12 + 12 + 4p = -40 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -40 + 12 4p = -40 + 12 Combine like terms: -40 + 12 = -28 4p = -28 Divide each side by '4'. p = -7 Simplifying p = -7
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