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Simplifying 8 + -3p = 3(-1p + -2) + -7(3p + -6) Reorder the terms: 8 + -3p = 3(-2 + -1p) + -7(3p + -6) 8 + -3p = (-2 * 3 + -1p * 3) + -7(3p + -6) 8 + -3p = (-6 + -3p) + -7(3p + -6) Reorder the terms: 8 + -3p = -6 + -3p + -7(-6 + 3p) 8 + -3p = -6 + -3p + (-6 * -7 + 3p * -7) 8 + -3p = -6 + -3p + (42 + -21p) Reorder the terms: 8 + -3p = -6 + 42 + -3p + -21p Combine like terms: -6 + 42 = 36 8 + -3p = 36 + -3p + -21p Combine like terms: -3p + -21p = -24p 8 + -3p = 36 + -24p Solving 8 + -3p = 36 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. 8 + -3p + 24p = 36 + -24p + 24p Combine like terms: -3p + 24p = 21p 8 + 21p = 36 + -24p + 24p Combine like terms: -24p + 24p = 0 8 + 21p = 36 + 0 8 + 21p = 36 Add '-8' to each side of the equation. 8 + -8 + 21p = 36 + -8 Combine like terms: 8 + -8 = 0 0 + 21p = 36 + -8 21p = 36 + -8 Combine like terms: 36 + -8 = 28 21p = 28 Divide each side by '21'. p = 1.333333333 Simplifying p = 1.333333333
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