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Simplifying 6(p + -2) = 5p + -7 Reorder the terms: 6(-2 + p) = 5p + -7 (-2 * 6 + p * 6) = 5p + -7 (-12 + 6p) = 5p + -7 Reorder the terms: -12 + 6p = -7 + 5p Solving -12 + 6p = -7 + 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. -12 + 6p + -5p = -7 + 5p + -5p Combine like terms: 6p + -5p = 1p -12 + 1p = -7 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 1p = -7 + 0 -12 + 1p = -7 Add '12' to each side of the equation. -12 + 12 + 1p = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 1p = -7 + 12 1p = -7 + 12 Combine like terms: -7 + 12 = 5 1p = 5 Divide each side by '1'. p = 5 Simplifying p = 5
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