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Simplifying 4p + -1 = 6(p + -1) + -2(8 + -3p) Reorder the terms: -1 + 4p = 6(p + -1) + -2(8 + -3p) Reorder the terms: -1 + 4p = 6(-1 + p) + -2(8 + -3p) -1 + 4p = (-1 * 6 + p * 6) + -2(8 + -3p) -1 + 4p = (-6 + 6p) + -2(8 + -3p) -1 + 4p = -6 + 6p + (8 * -2 + -3p * -2) -1 + 4p = -6 + 6p + (-16 + 6p) Reorder the terms: -1 + 4p = -6 + -16 + 6p + 6p Combine like terms: -6 + -16 = -22 -1 + 4p = -22 + 6p + 6p Combine like terms: 6p + 6p = 12p -1 + 4p = -22 + 12p Solving -1 + 4p = -22 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -1 + 4p + -12p = -22 + 12p + -12p Combine like terms: 4p + -12p = -8p -1 + -8p = -22 + 12p + -12p Combine like terms: 12p + -12p = 0 -1 + -8p = -22 + 0 -1 + -8p = -22 Add '1' to each side of the equation. -1 + 1 + -8p = -22 + 1 Combine like terms: -1 + 1 = 0 0 + -8p = -22 + 1 -8p = -22 + 1 Combine like terms: -22 + 1 = -21 -8p = -21 Divide each side by '-8'. p = 2.625 Simplifying p = 2.625
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