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Simplifying -4(2p + 2) + -18 = 5(4p + 6) Reorder the terms: -4(2 + 2p) + -18 = 5(4p + 6) (2 * -4 + 2p * -4) + -18 = 5(4p + 6) (-8 + -8p) + -18 = 5(4p + 6) Reorder the terms: -8 + -18 + -8p = 5(4p + 6) Combine like terms: -8 + -18 = -26 -26 + -8p = 5(4p + 6) Reorder the terms: -26 + -8p = 5(6 + 4p) -26 + -8p = (6 * 5 + 4p * 5) -26 + -8p = (30 + 20p) Solving -26 + -8p = 30 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -26 + -8p + -20p = 30 + 20p + -20p Combine like terms: -8p + -20p = -28p -26 + -28p = 30 + 20p + -20p Combine like terms: 20p + -20p = 0 -26 + -28p = 30 + 0 -26 + -28p = 30 Add '26' to each side of the equation. -26 + 26 + -28p = 30 + 26 Combine like terms: -26 + 26 = 0 0 + -28p = 30 + 26 -28p = 30 + 26 Combine like terms: 30 + 26 = 56 -28p = 56 Divide each side by '-28'. p = -2 Simplifying p = -2
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