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Simplifying -2(4p + 3) + -4(3 + -1p) = 2(2p + 3) + -1 Reorder the terms: -2(3 + 4p) + -4(3 + -1p) = 2(2p + 3) + -1 (3 * -2 + 4p * -2) + -4(3 + -1p) = 2(2p + 3) + -1 (-6 + -8p) + -4(3 + -1p) = 2(2p + 3) + -1 -6 + -8p + (3 * -4 + -1p * -4) = 2(2p + 3) + -1 -6 + -8p + (-12 + 4p) = 2(2p + 3) + -1 Reorder the terms: -6 + -12 + -8p + 4p = 2(2p + 3) + -1 Combine like terms: -6 + -12 = -18 -18 + -8p + 4p = 2(2p + 3) + -1 Combine like terms: -8p + 4p = -4p -18 + -4p = 2(2p + 3) + -1 Reorder the terms: -18 + -4p = 2(3 + 2p) + -1 -18 + -4p = (3 * 2 + 2p * 2) + -1 -18 + -4p = (6 + 4p) + -1 Reorder the terms: -18 + -4p = 6 + -1 + 4p Combine like terms: 6 + -1 = 5 -18 + -4p = 5 + 4p Solving -18 + -4p = 5 + 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. -18 + -4p + -4p = 5 + 4p + -4p Combine like terms: -4p + -4p = -8p -18 + -8p = 5 + 4p + -4p Combine like terms: 4p + -4p = 0 -18 + -8p = 5 + 0 -18 + -8p = 5 Add '18' to each side of the equation. -18 + 18 + -8p = 5 + 18 Combine like terms: -18 + 18 = 0 0 + -8p = 5 + 18 -8p = 5 + 18 Combine like terms: 5 + 18 = 23 -8p = 23 Divide each side by '-8'. p = -2.875 Simplifying p = -2.875
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