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Simplifying 4(9p + 4) = -2(5p + 21) Reorder the terms: 4(4 + 9p) = -2(5p + 21) (4 * 4 + 9p * 4) = -2(5p + 21) (16 + 36p) = -2(5p + 21) Reorder the terms: 16 + 36p = -2(21 + 5p) 16 + 36p = (21 * -2 + 5p * -2) 16 + 36p = (-42 + -10p) Solving 16 + 36p = -42 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 16 + 36p + 10p = -42 + -10p + 10p Combine like terms: 36p + 10p = 46p 16 + 46p = -42 + -10p + 10p Combine like terms: -10p + 10p = 0 16 + 46p = -42 + 0 16 + 46p = -42 Add '-16' to each side of the equation. 16 + -16 + 46p = -42 + -16 Combine like terms: 16 + -16 = 0 0 + 46p = -42 + -16 46p = -42 + -16 Combine like terms: -42 + -16 = -58 46p = -58 Divide each side by '46'. p = -1.260869565 Simplifying p = -1.260869565
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