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Simplifying 3[5p + -3] = 5[p + -1] Reorder the terms: 3[-3 + 5p] = 5[p + -1] [-3 * 3 + 5p * 3] = 5[p + -1] [-9 + 15p] = 5[p + -1] Reorder the terms: -9 + 15p = 5[-1 + p] -9 + 15p = [-1 * 5 + p * 5] -9 + 15p = [-5 + 5p] Solving -9 + 15p = -5 + 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. -9 + 15p + -5p = -5 + 5p + -5p Combine like terms: 15p + -5p = 10p -9 + 10p = -5 + 5p + -5p Combine like terms: 5p + -5p = 0 -9 + 10p = -5 + 0 -9 + 10p = -5 Add '9' to each side of the equation. -9 + 9 + 10p = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 10p = -5 + 9 10p = -5 + 9 Combine like terms: -5 + 9 = 4 10p = 4 Divide each side by '10'. p = 0.4 Simplifying p = 0.4
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