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Simplifying -4(4p + -4) + 6(3 + -4p) = -46 Reorder the terms: -4(-4 + 4p) + 6(3 + -4p) = -46 (-4 * -4 + 4p * -4) + 6(3 + -4p) = -46 (16 + -16p) + 6(3 + -4p) = -46 16 + -16p + (3 * 6 + -4p * 6) = -46 16 + -16p + (18 + -24p) = -46 Reorder the terms: 16 + 18 + -16p + -24p = -46 Combine like terms: 16 + 18 = 34 34 + -16p + -24p = -46 Combine like terms: -16p + -24p = -40p 34 + -40p = -46 Solving 34 + -40p = -46 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -40p = -46 + -34 Combine like terms: 34 + -34 = 0 0 + -40p = -46 + -34 -40p = -46 + -34 Combine like terms: -46 + -34 = -80 -40p = -80 Divide each side by '-40'. p = 2 Simplifying p = 2
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