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Simplifying 4p + -3(-2 + p) = -5p + -6 4p + (-2 * -3 + p * -3) = -5p + -6 4p + (6 + -3p) = -5p + -6 Reorder the terms: 6 + 4p + -3p = -5p + -6 Combine like terms: 4p + -3p = 1p 6 + 1p = -5p + -6 Reorder the terms: 6 + 1p = -6 + -5p Solving 6 + 1p = -6 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 6 + 1p + 5p = -6 + -5p + 5p Combine like terms: 1p + 5p = 6p 6 + 6p = -6 + -5p + 5p Combine like terms: -5p + 5p = 0 6 + 6p = -6 + 0 6 + 6p = -6 Add '-6' to each side of the equation. 6 + -6 + 6p = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 6p = -6 + -6 6p = -6 + -6 Combine like terms: -6 + -6 = -12 6p = -12 Divide each side by '6'. p = -2 Simplifying p = -2
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