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Simplifying 7p + -1[3p + 4] = -2[2p + -1] + 10 Reorder the terms: 7p + -1[4 + 3p] = -2[2p + -1] + 10 7p + [4 * -1 + 3p * -1] = -2[2p + -1] + 10 7p + [-4 + -3p] = -2[2p + -1] + 10 Reorder the terms: -4 + 7p + -3p = -2[2p + -1] + 10 Combine like terms: 7p + -3p = 4p -4 + 4p = -2[2p + -1] + 10 Reorder the terms: -4 + 4p = -2[-1 + 2p] + 10 -4 + 4p = [-1 * -2 + 2p * -2] + 10 -4 + 4p = [2 + -4p] + 10 Reorder the terms: -4 + 4p = 2 + 10 + -4p Combine like terms: 2 + 10 = 12 -4 + 4p = 12 + -4p Solving -4 + 4p = 12 + -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 + 4p + 4p = 12 + -4p + 4p Combine like terms: 4p + 4p = 8p -4 + 8p = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 -4 + 8p = 12 + 0 -4 + 8p = 12 Add '4' to each side of the equation. -4 + 4 + 8p = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8p = 12 + 4 8p = 12 + 4 Combine like terms: 12 + 4 = 16 8p = 16 Divide each side by '8'. p = 2 Simplifying p = 2
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