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Simplifying 8p + -22 = 4 + -7(-4 + -5p) Reorder the terms: -22 + 8p = 4 + -7(-4 + -5p) -22 + 8p = 4 + (-4 * -7 + -5p * -7) -22 + 8p = 4 + (28 + 35p) Combine like terms: 4 + 28 = 32 -22 + 8p = 32 + 35p Solving -22 + 8p = 32 + 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. -22 + 8p + -35p = 32 + 35p + -35p Combine like terms: 8p + -35p = -27p -22 + -27p = 32 + 35p + -35p Combine like terms: 35p + -35p = 0 -22 + -27p = 32 + 0 -22 + -27p = 32 Add '22' to each side of the equation. -22 + 22 + -27p = 32 + 22 Combine like terms: -22 + 22 = 0 0 + -27p = 32 + 22 -27p = 32 + 22 Combine like terms: 32 + 22 = 54 -27p = 54 Divide each side by '-27'. p = -2 Simplifying p = -2
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