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Simplifying -7(p + -6) = -4p + 18 Reorder the terms: -7(-6 + p) = -4p + 18 (-6 * -7 + p * -7) = -4p + 18 (42 + -7p) = -4p + 18 Reorder the terms: 42 + -7p = 18 + -4p Solving 42 + -7p = 18 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 42 + -7p + 4p = 18 + -4p + 4p Combine like terms: -7p + 4p = -3p 42 + -3p = 18 + -4p + 4p Combine like terms: -4p + 4p = 0 42 + -3p = 18 + 0 42 + -3p = 18 Add '-42' to each side of the equation. 42 + -42 + -3p = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -3p = 18 + -42 -3p = 18 + -42 Combine like terms: 18 + -42 = -24 -3p = -24 Divide each side by '-3'. p = 8 Simplifying p = 8
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