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Simplifying -7(p + -6) = -3(p + -2) Reorder the terms: -7(-6 + p) = -3(p + -2) (-6 * -7 + p * -7) = -3(p + -2) (42 + -7p) = -3(p + -2) Reorder the terms: 42 + -7p = -3(-2 + p) 42 + -7p = (-2 * -3 + p * -3) 42 + -7p = (6 + -3p) Solving 42 + -7p = 6 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 42 + -7p + 3p = 6 + -3p + 3p Combine like terms: -7p + 3p = -4p 42 + -4p = 6 + -3p + 3p Combine like terms: -3p + 3p = 0 42 + -4p = 6 + 0 42 + -4p = 6 Add '-42' to each side of the equation. 42 + -42 + -4p = 6 + -42 Combine like terms: 42 + -42 = 0 0 + -4p = 6 + -42 -4p = 6 + -42 Combine like terms: 6 + -42 = -36 -4p = -36 Divide each side by '-4'. p = 9 Simplifying p = 9
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