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Simplifying -6p + -4(2 + -4p) = 5(p + -4) + -3 -6p + (2 * -4 + -4p * -4) = 5(p + -4) + -3 -6p + (-8 + 16p) = 5(p + -4) + -3 Reorder the terms: -8 + -6p + 16p = 5(p + -4) + -3 Combine like terms: -6p + 16p = 10p -8 + 10p = 5(p + -4) + -3 Reorder the terms: -8 + 10p = 5(-4 + p) + -3 -8 + 10p = (-4 * 5 + p * 5) + -3 -8 + 10p = (-20 + 5p) + -3 Reorder the terms: -8 + 10p = -20 + -3 + 5p Combine like terms: -20 + -3 = -23 -8 + 10p = -23 + 5p Solving -8 + 10p = -23 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -8 + 10p + -5p = -23 + 5p + -5p Combine like terms: 10p + -5p = 5p -8 + 5p = -23 + 5p + -5p Combine like terms: 5p + -5p = 0 -8 + 5p = -23 + 0 -8 + 5p = -23 Add '8' to each side of the equation. -8 + 8 + 5p = -23 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = -23 + 8 5p = -23 + 8 Combine like terms: -23 + 8 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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