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Simplifying -5p + -2(3 + -6p) = 4(p + -5) + -16 -5p + (3 * -2 + -6p * -2) = 4(p + -5) + -16 -5p + (-6 + 12p) = 4(p + -5) + -16 Reorder the terms: -6 + -5p + 12p = 4(p + -5) + -16 Combine like terms: -5p + 12p = 7p -6 + 7p = 4(p + -5) + -16 Reorder the terms: -6 + 7p = 4(-5 + p) + -16 -6 + 7p = (-5 * 4 + p * 4) + -16 -6 + 7p = (-20 + 4p) + -16 Reorder the terms: -6 + 7p = -20 + -16 + 4p Combine like terms: -20 + -16 = -36 -6 + 7p = -36 + 4p Solving -6 + 7p = -36 + 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. -6 + 7p + -4p = -36 + 4p + -4p Combine like terms: 7p + -4p = 3p -6 + 3p = -36 + 4p + -4p Combine like terms: 4p + -4p = 0 -6 + 3p = -36 + 0 -6 + 3p = -36 Add '6' to each side of the equation. -6 + 6 + 3p = -36 + 6 Combine like terms: -6 + 6 = 0 0 + 3p = -36 + 6 3p = -36 + 6 Combine like terms: -36 + 6 = -30 3p = -30 Divide each side by '3'. p = -10 Simplifying p = -10
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