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Simplifying 3p + -1 = 5[p + -1] + -2[7 + -2p] Reorder the terms: -1 + 3p = 5[p + -1] + -2[7 + -2p] Reorder the terms: -1 + 3p = 5[-1 + p] + -2[7 + -2p] -1 + 3p = [-1 * 5 + p * 5] + -2[7 + -2p] -1 + 3p = [-5 + 5p] + -2[7 + -2p] -1 + 3p = -5 + 5p + [7 * -2 + -2p * -2] -1 + 3p = -5 + 5p + [-14 + 4p] Reorder the terms: -1 + 3p = -5 + -14 + 5p + 4p Combine like terms: -5 + -14 = -19 -1 + 3p = -19 + 5p + 4p Combine like terms: 5p + 4p = 9p -1 + 3p = -19 + 9p Solving -1 + 3p = -19 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -1 + 3p + -9p = -19 + 9p + -9p Combine like terms: 3p + -9p = -6p -1 + -6p = -19 + 9p + -9p Combine like terms: 9p + -9p = 0 -1 + -6p = -19 + 0 -1 + -6p = -19 Add '1' to each side of the equation. -1 + 1 + -6p = -19 + 1 Combine like terms: -1 + 1 = 0 0 + -6p = -19 + 1 -6p = -19 + 1 Combine like terms: -19 + 1 = -18 -6p = -18 Divide each side by '-6'. p = 3 Simplifying p = 3
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