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Simplifying -5(2p + 4) + -46 = 4(4p + 3) Reorder the terms: -5(4 + 2p) + -46 = 4(4p + 3) (4 * -5 + 2p * -5) + -46 = 4(4p + 3) (-20 + -10p) + -46 = 4(4p + 3) Reorder the terms: -20 + -46 + -10p = 4(4p + 3) Combine like terms: -20 + -46 = -66 -66 + -10p = 4(4p + 3) Reorder the terms: -66 + -10p = 4(3 + 4p) -66 + -10p = (3 * 4 + 4p * 4) -66 + -10p = (12 + 16p) Solving -66 + -10p = 12 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -66 + -10p + -16p = 12 + 16p + -16p Combine like terms: -10p + -16p = -26p -66 + -26p = 12 + 16p + -16p Combine like terms: 16p + -16p = 0 -66 + -26p = 12 + 0 -66 + -26p = 12 Add '66' to each side of the equation. -66 + 66 + -26p = 12 + 66 Combine like terms: -66 + 66 = 0 0 + -26p = 12 + 66 -26p = 12 + 66 Combine like terms: 12 + 66 = 78 -26p = 78 Divide each side by '-26'. p = -3 Simplifying p = -3
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