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Simplifying 16p + -12 = -6p + -2(-9p + -20) Reorder the terms: -12 + 16p = -6p + -2(-9p + -20) Reorder the terms: -12 + 16p = -6p + -2(-20 + -9p) -12 + 16p = -6p + (-20 * -2 + -9p * -2) -12 + 16p = -6p + (40 + 18p) Reorder the terms: -12 + 16p = 40 + -6p + 18p Combine like terms: -6p + 18p = 12p -12 + 16p = 40 + 12p Solving -12 + 16p = 40 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -12 + 16p + -12p = 40 + 12p + -12p Combine like terms: 16p + -12p = 4p -12 + 4p = 40 + 12p + -12p Combine like terms: 12p + -12p = 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 = 52 4p = 52 Divide each side by '4'. p = 13 Simplifying p = 13
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