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Simplifying -4(5p + 4) + -30 = 3(2p + 2) Reorder the terms: -4(4 + 5p) + -30 = 3(2p + 2) (4 * -4 + 5p * -4) + -30 = 3(2p + 2) (-16 + -20p) + -30 = 3(2p + 2) Reorder the terms: -16 + -30 + -20p = 3(2p + 2) Combine like terms: -16 + -30 = -46 -46 + -20p = 3(2p + 2) Reorder the terms: -46 + -20p = 3(2 + 2p) -46 + -20p = (2 * 3 + 2p * 3) -46 + -20p = (6 + 6p) Solving -46 + -20p = 6 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -46 + -20p + -6p = 6 + 6p + -6p Combine like terms: -20p + -6p = -26p -46 + -26p = 6 + 6p + -6p Combine like terms: 6p + -6p = 0 -46 + -26p = 6 + 0 -46 + -26p = 6 Add '46' to each side of the equation. -46 + 46 + -26p = 6 + 46 Combine like terms: -46 + 46 = 0 0 + -26p = 6 + 46 -26p = 6 + 46 Combine like terms: 6 + 46 = 52 -26p = 52 Divide each side by '-26'. p = -2 Simplifying p = -2
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