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Simplifying 6 + -1(2p + -4) = 4p + 3 Reorder the terms: 6 + -1(-4 + 2p) = 4p + 3 6 + (-4 * -1 + 2p * -1) = 4p + 3 6 + (4 + -2p) = 4p + 3 Combine like terms: 6 + 4 = 10 10 + -2p = 4p + 3 Reorder the terms: 10 + -2p = 3 + 4p Solving 10 + -2p = 3 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 10 + -2p + -4p = 3 + 4p + -4p Combine like terms: -2p + -4p = -6p 10 + -6p = 3 + 4p + -4p Combine like terms: 4p + -4p = 0 10 + -6p = 3 + 0 10 + -6p = 3 Add '-10' to each side of the equation. 10 + -10 + -6p = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -6p = 3 + -10 -6p = 3 + -10 Combine like terms: 3 + -10 = -7 -6p = -7 Divide each side by '-6'. p = 1.166666667 Simplifying p = 1.166666667
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