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Simplifying 4p + 22 = -6(7p + 4) Reorder the terms: 22 + 4p = -6(7p + 4) Reorder the terms: 22 + 4p = -6(4 + 7p) 22 + 4p = (4 * -6 + 7p * -6) 22 + 4p = (-24 + -42p) Solving 22 + 4p = -24 + -42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '42p' to each side of the equation. 22 + 4p + 42p = -24 + -42p + 42p Combine like terms: 4p + 42p = 46p 22 + 46p = -24 + -42p + 42p Combine like terms: -42p + 42p = 0 22 + 46p = -24 + 0 22 + 46p = -24 Add '-22' to each side of the equation. 22 + -22 + 46p = -24 + -22 Combine like terms: 22 + -22 = 0 0 + 46p = -24 + -22 46p = -24 + -22 Combine like terms: -24 + -22 = -46 46p = -46 Divide each side by '46'. p = -1 Simplifying p = -1
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