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Simplifying 4(4p + -1) = 4(2p + -3) Reorder the terms: 4(-1 + 4p) = 4(2p + -3) (-1 * 4 + 4p * 4) = 4(2p + -3) (-4 + 16p) = 4(2p + -3) Reorder the terms: -4 + 16p = 4(-3 + 2p) -4 + 16p = (-3 * 4 + 2p * 4) -4 + 16p = (-12 + 8p) Solving -4 + 16p = -12 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -4 + 16p + -8p = -12 + 8p + -8p Combine like terms: 16p + -8p = 8p -4 + 8p = -12 + 8p + -8p Combine like terms: 8p + -8p = 0 -4 + 8p = -12 + 0 -4 + 8p = -12 Add '4' to each side of the equation. -4 + 4 + 8p = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 8p = -12 + 4 8p = -12 + 4 Combine like terms: -12 + 4 = -8 8p = -8 Divide each side by '8'. p = -1 Simplifying p = -1
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