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Simplifying -10p + -4(5 + -4p) = 3(p + -4) + -2 -10p + (5 * -4 + -4p * -4) = 3(p + -4) + -2 -10p + (-20 + 16p) = 3(p + -4) + -2 Reorder the terms: -20 + -10p + 16p = 3(p + -4) + -2 Combine like terms: -10p + 16p = 6p -20 + 6p = 3(p + -4) + -2 Reorder the terms: -20 + 6p = 3(-4 + p) + -2 -20 + 6p = (-4 * 3 + p * 3) + -2 -20 + 6p = (-12 + 3p) + -2 Reorder the terms: -20 + 6p = -12 + -2 + 3p Combine like terms: -12 + -2 = -14 -20 + 6p = -14 + 3p Solving -20 + 6p = -14 + 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. -20 + 6p + -3p = -14 + 3p + -3p Combine like terms: 6p + -3p = 3p -20 + 3p = -14 + 3p + -3p Combine like terms: 3p + -3p = 0 -20 + 3p = -14 + 0 -20 + 3p = -14 Add '20' to each side of the equation. -20 + 20 + 3p = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 3p = -14 + 20 3p = -14 + 20 Combine like terms: -14 + 20 = 6 3p = 6 Divide each side by '3'. p = 2 Simplifying p = 2
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