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Simplifying 3 + 2(4p + -2) + -1 = p + -7(2p + -3) + 6 Reorder the terms: 3 + 2(-2 + 4p) + -1 = p + -7(2p + -3) + 6 3 + (-2 * 2 + 4p * 2) + -1 = p + -7(2p + -3) + 6 3 + (-4 + 8p) + -1 = p + -7(2p + -3) + 6 Reorder the terms: 3 + -4 + -1 + 8p = p + -7(2p + -3) + 6 Combine like terms: 3 + -4 = -1 -1 + -1 + 8p = p + -7(2p + -3) + 6 Combine like terms: -1 + -1 = -2 -2 + 8p = p + -7(2p + -3) + 6 Reorder the terms: -2 + 8p = p + -7(-3 + 2p) + 6 -2 + 8p = p + (-3 * -7 + 2p * -7) + 6 -2 + 8p = p + (21 + -14p) + 6 Reorder the terms: -2 + 8p = 21 + 6 + p + -14p Combine like terms: 21 + 6 = 27 -2 + 8p = 27 + p + -14p Combine like terms: p + -14p = -13p -2 + 8p = 27 + -13p Solving -2 + 8p = 27 + -13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13p' to each side of the equation. -2 + 8p + 13p = 27 + -13p + 13p Combine like terms: 8p + 13p = 21p -2 + 21p = 27 + -13p + 13p Combine like terms: -13p + 13p = 0 -2 + 21p = 27 + 0 -2 + 21p = 27 Add '2' to each side of the equation. -2 + 2 + 21p = 27 + 2 Combine like terms: -2 + 2 = 0 0 + 21p = 27 + 2 21p = 27 + 2 Combine like terms: 27 + 2 = 29 21p = 29 Divide each side by '21'. p = 1.380952381 Simplifying p = 1.380952381
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