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Simplifying -4(4p + 4) + -18 = 2(2p + 3) Reorder the terms: -4(4 + 4p) + -18 = 2(2p + 3) (4 * -4 + 4p * -4) + -18 = 2(2p + 3) (-16 + -16p) + -18 = 2(2p + 3) Reorder the terms: -16 + -18 + -16p = 2(2p + 3) Combine like terms: -16 + -18 = -34 -34 + -16p = 2(2p + 3) Reorder the terms: -34 + -16p = 2(3 + 2p) -34 + -16p = (3 * 2 + 2p * 2) -34 + -16p = (6 + 4p) Solving -34 + -16p = 6 + 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. -34 + -16p + -4p = 6 + 4p + -4p Combine like terms: -16p + -4p = -20p -34 + -20p = 6 + 4p + -4p Combine like terms: 4p + -4p = 0 -34 + -20p = 6 + 0 -34 + -20p = 6 Add '34' to each side of the equation. -34 + 34 + -20p = 6 + 34 Combine like terms: -34 + 34 = 0 0 + -20p = 6 + 34 -20p = 6 + 34 Combine like terms: 6 + 34 = 40 -20p = 40 Divide each side by '-20'. p = -2 Simplifying p = -2
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