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Simplifying -8 + -4(4p + 3) = 30 + -6p Reorder the terms: -8 + -4(3 + 4p) = 30 + -6p -8 + (3 * -4 + 4p * -4) = 30 + -6p -8 + (-12 + -16p) = 30 + -6p Combine like terms: -8 + -12 = -20 -20 + -16p = 30 + -6p Solving -20 + -16p = 30 + -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 + -16p + 6p = 30 + -6p + 6p Combine like terms: -16p + 6p = -10p -20 + -10p = 30 + -6p + 6p Combine like terms: -6p + 6p = 0 -20 + -10p = 30 + 0 -20 + -10p = 30 Add '20' to each side of the equation. -20 + 20 + -10p = 30 + 20 Combine like terms: -20 + 20 = 0 0 + -10p = 30 + 20 -10p = 30 + 20 Combine like terms: 30 + 20 = 50 -10p = 50 Divide each side by '-10'. p = -5 Simplifying p = -5
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