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Simplifying 5 = 6(p + -5) + -19 Reorder the terms: 5 = 6(-5 + p) + -19 5 = (-5 * 6 + p * 6) + -19 5 = (-30 + 6p) + -19 Reorder the terms: 5 = -30 + -19 + 6p Combine like terms: -30 + -19 = -49 5 = -49 + 6p Solving 5 = -49 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 5 + -6p = -49 + 6p + -6p Combine like terms: 6p + -6p = 0 5 + -6p = -49 + 0 5 + -6p = -49 Add '-5' to each side of the equation. 5 + -5 + -6p = -49 + -5 Combine like terms: 5 + -5 = 0 0 + -6p = -49 + -5 -6p = -49 + -5 Combine like terms: -49 + -5 = -54 -6p = -54 Divide each side by '-6'. p = 9 Simplifying p = 9
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