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Simplifying 3p + -1 = 6(p + -1) + -2(7 + -2p) Reorder the terms: -1 + 3p = 6(p + -1) + -2(7 + -2p) Reorder the terms: -1 + 3p = 6(-1 + p) + -2(7 + -2p) -1 + 3p = (-1 * 6 + p * 6) + -2(7 + -2p) -1 + 3p = (-6 + 6p) + -2(7 + -2p) -1 + 3p = -6 + 6p + (7 * -2 + -2p * -2) -1 + 3p = -6 + 6p + (-14 + 4p) Reorder the terms: -1 + 3p = -6 + -14 + 6p + 4p Combine like terms: -6 + -14 = -20 -1 + 3p = -20 + 6p + 4p Combine like terms: 6p + 4p = 10p -1 + 3p = -20 + 10p Solving -1 + 3p = -20 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -1 + 3p + -10p = -20 + 10p + -10p Combine like terms: 3p + -10p = -7p -1 + -7p = -20 + 10p + -10p Combine like terms: 10p + -10p = 0 -1 + -7p = -20 + 0 -1 + -7p = -20 Add '1' to each side of the equation. -1 + 1 + -7p = -20 + 1 Combine like terms: -1 + 1 = 0 0 + -7p = -20 + 1 -7p = -20 + 1 Combine like terms: -20 + 1 = -19 -7p = -19 Divide each side by '-7'. p = 2.714285714 Simplifying p = 2.714285714
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