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Simplifying -3p + -7(-6 + 5p) = -6p + -6(-3 + 4p) -3p + (-6 * -7 + 5p * -7) = -6p + -6(-3 + 4p) -3p + (42 + -35p) = -6p + -6(-3 + 4p) Reorder the terms: 42 + -3p + -35p = -6p + -6(-3 + 4p) Combine like terms: -3p + -35p = -38p 42 + -38p = -6p + -6(-3 + 4p) 42 + -38p = -6p + (-3 * -6 + 4p * -6) 42 + -38p = -6p + (18 + -24p) Reorder the terms: 42 + -38p = 18 + -6p + -24p Combine like terms: -6p + -24p = -30p 42 + -38p = 18 + -30p Solving 42 + -38p = 18 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. 42 + -38p + 30p = 18 + -30p + 30p Combine like terms: -38p + 30p = -8p 42 + -8p = 18 + -30p + 30p Combine like terms: -30p + 30p = 0 42 + -8p = 18 + 0 42 + -8p = 18 Add '-42' to each side of the equation. 42 + -42 + -8p = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -8p = 18 + -42 -8p = 18 + -42 Combine like terms: 18 + -42 = -24 -8p = -24 Divide each side by '-8'. p = 3 Simplifying p = 3
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