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Simplifying -6p + 7 = -5(2p + 13) Reorder the terms: 7 + -6p = -5(2p + 13) Reorder the terms: 7 + -6p = -5(13 + 2p) 7 + -6p = (13 * -5 + 2p * -5) 7 + -6p = (-65 + -10p) Solving 7 + -6p = -65 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 7 + -6p + 10p = -65 + -10p + 10p Combine like terms: -6p + 10p = 4p 7 + 4p = -65 + -10p + 10p Combine like terms: -10p + 10p = 0 7 + 4p = -65 + 0 7 + 4p = -65 Add '-7' to each side of the equation. 7 + -7 + 4p = -65 + -7 Combine like terms: 7 + -7 = 0 0 + 4p = -65 + -7 4p = -65 + -7 Combine like terms: -65 + -7 = -72 4p = -72 Divide each side by '4'. p = -18 Simplifying p = -18
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