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Simplifying -4p + 46 = 7(p + -6) Reorder the terms: 46 + -4p = 7(p + -6) Reorder the terms: 46 + -4p = 7(-6 + p) 46 + -4p = (-6 * 7 + p * 7) 46 + -4p = (-42 + 7p) Solving 46 + -4p = -42 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 46 + -4p + -7p = -42 + 7p + -7p Combine like terms: -4p + -7p = -11p 46 + -11p = -42 + 7p + -7p Combine like terms: 7p + -7p = 0 46 + -11p = -42 + 0 46 + -11p = -42 Add '-46' to each side of the equation. 46 + -46 + -11p = -42 + -46 Combine like terms: 46 + -46 = 0 0 + -11p = -42 + -46 -11p = -42 + -46 Combine like terms: -42 + -46 = -88 -11p = -88 Divide each side by '-11'. p = 8 Simplifying p = 8
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