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Simplifying 7 + -2(4 + -3p) = 5p + 4 7 + (4 * -2 + -3p * -2) = 5p + 4 7 + (-8 + 6p) = 5p + 4 Combine like terms: 7 + -8 = -1 -1 + 6p = 5p + 4 Reorder the terms: -1 + 6p = 4 + 5p Solving -1 + 6p = 4 + 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. -1 + 6p + -5p = 4 + 5p + -5p Combine like terms: 6p + -5p = 1p -1 + 1p = 4 + 5p + -5p Combine like terms: 5p + -5p = 0 -1 + 1p = 4 + 0 -1 + 1p = 4 Add '1' to each side of the equation. -1 + 1 + 1p = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 1p = 4 + 1 1p = 4 + 1 Combine like terms: 4 + 1 = 5 1p = 5 Divide each side by '1'. p = 5 Simplifying p = 5
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