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Simplifying -3p + -7 = 2(-8p + -2) + -3(9 + -7p) Reorder the terms: -7 + -3p = 2(-8p + -2) + -3(9 + -7p) Reorder the terms: -7 + -3p = 2(-2 + -8p) + -3(9 + -7p) -7 + -3p = (-2 * 2 + -8p * 2) + -3(9 + -7p) -7 + -3p = (-4 + -16p) + -3(9 + -7p) -7 + -3p = -4 + -16p + (9 * -3 + -7p * -3) -7 + -3p = -4 + -16p + (-27 + 21p) Reorder the terms: -7 + -3p = -4 + -27 + -16p + 21p Combine like terms: -4 + -27 = -31 -7 + -3p = -31 + -16p + 21p Combine like terms: -16p + 21p = 5p -7 + -3p = -31 + 5p Solving -7 + -3p = -31 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -7 + -3p + -5p = -31 + 5p + -5p Combine like terms: -3p + -5p = -8p -7 + -8p = -31 + 5p + -5p Combine like terms: 5p + -5p = 0 -7 + -8p = -31 + 0 -7 + -8p = -31 Add '7' to each side of the equation. -7 + 7 + -8p = -31 + 7 Combine like terms: -7 + 7 = 0 0 + -8p = -31 + 7 -8p = -31 + 7 Combine like terms: -31 + 7 = -24 -8p = -24 Divide each side by '-8'. p = 3 Simplifying p = 3
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