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Simplifying 5(2 + -3p) = 5p + -30 (2 * 5 + -3p * 5) = 5p + -30 (10 + -15p) = 5p + -30 Reorder the terms: 10 + -15p = -30 + 5p Solving 10 + -15p = -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. 10 + -15p + -5p = -30 + 5p + -5p Combine like terms: -15p + -5p = -20p 10 + -20p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 10 + -20p = -30 + 0 10 + -20p = -30 Add '-10' to each side of the equation. 10 + -10 + -20p = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -20p = -30 + -10 -20p = -30 + -10 Combine like terms: -30 + -10 = -40 -20p = -40 Divide each side by '-20'. p = 2 Simplifying p = 2
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