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Simplifying 22 + 3p = 7(4p + -4) Reorder the terms: 22 + 3p = 7(-4 + 4p) 22 + 3p = (-4 * 7 + 4p * 7) 22 + 3p = (-28 + 28p) Solving 22 + 3p = -28 + 28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-28p' to each side of the equation. 22 + 3p + -28p = -28 + 28p + -28p Combine like terms: 3p + -28p = -25p 22 + -25p = -28 + 28p + -28p Combine like terms: 28p + -28p = 0 22 + -25p = -28 + 0 22 + -25p = -28 Add '-22' to each side of the equation. 22 + -22 + -25p = -28 + -22 Combine like terms: 22 + -22 = 0 0 + -25p = -28 + -22 -25p = -28 + -22 Combine like terms: -28 + -22 = -50 -25p = -50 Divide each side by '-25'. p = 2 Simplifying p = 2
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