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Simplifying -10p + -4(3 + -5p) = 6(p + -4) + -20 -10p + (3 * -4 + -5p * -4) = 6(p + -4) + -20 -10p + (-12 + 20p) = 6(p + -4) + -20 Reorder the terms: -12 + -10p + 20p = 6(p + -4) + -20 Combine like terms: -10p + 20p = 10p -12 + 10p = 6(p + -4) + -20 Reorder the terms: -12 + 10p = 6(-4 + p) + -20 -12 + 10p = (-4 * 6 + p * 6) + -20 -12 + 10p = (-24 + 6p) + -20 Reorder the terms: -12 + 10p = -24 + -20 + 6p Combine like terms: -24 + -20 = -44 -12 + 10p = -44 + 6p Solving -12 + 10p = -44 + 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 = -44 + 6p + -6p Combine like terms: 10p + -6p = 4p -12 + 4p = -44 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + 4p = -44 + 0 -12 + 4p = -44 Add '12' to each side of the equation. -12 + 12 + 4p = -44 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -44 + 12 4p = -44 + 12 Combine like terms: -44 + 12 = -32 4p = -32 Divide each side by '4'. p = -8 Simplifying p = -8
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