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Simplifying 6 + -1p = -2 + 4(p + 2) Reorder the terms: 6 + -1p = -2 + 4(2 + p) 6 + -1p = -2 + (2 * 4 + p * 4) 6 + -1p = -2 + (8 + 4p) Combine like terms: -2 + 8 = 6 6 + -1p = 6 + 4p Add '-6' to each side of the equation. 6 + -6 + -1p = 6 + -6 + 4p Combine like terms: 6 + -6 = 0 0 + -1p = 6 + -6 + 4p -1p = 6 + -6 + 4p Combine like terms: 6 + -6 = 0 -1p = 0 + 4p -1p = 4p Solving -1p = 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -1p + -4p = 4p + -4p Combine like terms: -1p + -4p = -5p -5p = 4p + -4p Combine like terms: 4p + -4p = 0 -5p = 0 Divide each side by '-5'. p = 0 Simplifying p = 0
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