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Simplifying -10p + -5(4 + -4p) = 6(p + -2) + -16 -10p + (4 * -5 + -4p * -5) = 6(p + -2) + -16 -10p + (-20 + 20p) = 6(p + -2) + -16 Reorder the terms: -20 + -10p + 20p = 6(p + -2) + -16 Combine like terms: -10p + 20p = 10p -20 + 10p = 6(p + -2) + -16 Reorder the terms: -20 + 10p = 6(-2 + p) + -16 -20 + 10p = (-2 * 6 + p * 6) + -16 -20 + 10p = (-12 + 6p) + -16 Reorder the terms: -20 + 10p = -12 + -16 + 6p Combine like terms: -12 + -16 = -28 -20 + 10p = -28 + 6p Solving -20 + 10p = -28 + 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. -20 + 10p + -6p = -28 + 6p + -6p Combine like terms: 10p + -6p = 4p -20 + 4p = -28 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + 4p = -28 + 0 -20 + 4p = -28 Add '20' to each side of the equation. -20 + 20 + 4p = -28 + 20 Combine like terms: -20 + 20 = 0 0 + 4p = -28 + 20 4p = -28 + 20 Combine like terms: -28 + 20 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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