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Simplifying 10p + -1[3p + -4] = 4[p + 1] + 9 Reorder the terms: 10p + -1[-4 + 3p] = 4[p + 1] + 9 10p + [-4 * -1 + 3p * -1] = 4[p + 1] + 9 10p + [4 + -3p] = 4[p + 1] + 9 Reorder the terms: 4 + 10p + -3p = 4[p + 1] + 9 Combine like terms: 10p + -3p = 7p 4 + 7p = 4[p + 1] + 9 Reorder the terms: 4 + 7p = 4[1 + p] + 9 4 + 7p = [1 * 4 + p * 4] + 9 4 + 7p = [4 + 4p] + 9 Reorder the terms: 4 + 7p = 4 + 9 + 4p Combine like terms: 4 + 9 = 13 4 + 7p = 13 + 4p Solving 4 + 7p = 13 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 4 + 7p + -4p = 13 + 4p + -4p Combine like terms: 7p + -4p = 3p 4 + 3p = 13 + 4p + -4p Combine like terms: 4p + -4p = 0 4 + 3p = 13 + 0 4 + 3p = 13 Add '-4' to each side of the equation. 4 + -4 + 3p = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 3p = 13 + -4 3p = 13 + -4 Combine like terms: 13 + -4 = 9 3p = 9 Divide each side by '3'. p = 3 Simplifying p = 3
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