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Simplifying 4p + -2(6 + -3p) = 6(p + -5) + -22 4p + (6 * -2 + -3p * -2) = 6(p + -5) + -22 4p + (-12 + 6p) = 6(p + -5) + -22 Reorder the terms: -12 + 4p + 6p = 6(p + -5) + -22 Combine like terms: 4p + 6p = 10p -12 + 10p = 6(p + -5) + -22 Reorder the terms: -12 + 10p = 6(-5 + p) + -22 -12 + 10p = (-5 * 6 + p * 6) + -22 -12 + 10p = (-30 + 6p) + -22 Reorder the terms: -12 + 10p = -30 + -22 + 6p Combine like terms: -30 + -22 = -52 -12 + 10p = -52 + 6p Solving -12 + 10p = -52 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -12 + 10p + -6p = -52 + 6p + -6p Combine like terms: 10p + -6p = 4p -12 + 4p = -52 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + 4p = -52 + 0 -12 + 4p = -52 Add '12' to each side of the equation. -12 + 12 + 4p = -52 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -52 + 12 4p = -52 + 12 Combine like terms: -52 + 12 = -40 4p = -40 Divide each side by '4'. p = -10 Simplifying p = -10
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