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Simplifying -5(p + -19) = -6 + 2p Reorder the terms: -5(-19 + p) = -6 + 2p (-19 * -5 + p * -5) = -6 + 2p (95 + -5p) = -6 + 2p Solving 95 + -5p = -6 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 95 + -5p + -2p = -6 + 2p + -2p Combine like terms: -5p + -2p = -7p 95 + -7p = -6 + 2p + -2p Combine like terms: 2p + -2p = 0 95 + -7p = -6 + 0 95 + -7p = -6 Add '-95' to each side of the equation. 95 + -95 + -7p = -6 + -95 Combine like terms: 95 + -95 = 0 0 + -7p = -6 + -95 -7p = -6 + -95 Combine like terms: -6 + -95 = -101 -7p = -101 Divide each side by '-7'. p = 14.42857143 Simplifying p = 14.42857143
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