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Simplifying 6(p + 4) = 5p + 30 Reorder the terms: 6(4 + p) = 5p + 30 (4 * 6 + p * 6) = 5p + 30 (24 + 6p) = 5p + 30 Reorder the terms: 24 + 6p = 30 + 5p Solving 24 + 6p = 30 + 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. 24 + 6p + -5p = 30 + 5p + -5p Combine like terms: 6p + -5p = 1p 24 + 1p = 30 + 5p + -5p Combine like terms: 5p + -5p = 0 24 + 1p = 30 + 0 24 + 1p = 30 Add '-24' to each side of the equation. 24 + -24 + 1p = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 1p = 30 + -24 1p = 30 + -24 Combine like terms: 30 + -24 = 6 1p = 6 Divide each side by '1'. p = 6 Simplifying p = 6
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