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Simplifying 10p + -6 = -10(p + -5) + 8(4 + -3p) Reorder the terms: -6 + 10p = -10(p + -5) + 8(4 + -3p) Reorder the terms: -6 + 10p = -10(-5 + p) + 8(4 + -3p) -6 + 10p = (-5 * -10 + p * -10) + 8(4 + -3p) -6 + 10p = (50 + -10p) + 8(4 + -3p) -6 + 10p = 50 + -10p + (4 * 8 + -3p * 8) -6 + 10p = 50 + -10p + (32 + -24p) Reorder the terms: -6 + 10p = 50 + 32 + -10p + -24p Combine like terms: 50 + 32 = 82 -6 + 10p = 82 + -10p + -24p Combine like terms: -10p + -24p = -34p -6 + 10p = 82 + -34p Solving -6 + 10p = 82 + -34p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '34p' to each side of the equation. -6 + 10p + 34p = 82 + -34p + 34p Combine like terms: 10p + 34p = 44p -6 + 44p = 82 + -34p + 34p Combine like terms: -34p + 34p = 0 -6 + 44p = 82 + 0 -6 + 44p = 82 Add '6' to each side of the equation. -6 + 6 + 44p = 82 + 6 Combine like terms: -6 + 6 = 0 0 + 44p = 82 + 6 44p = 82 + 6 Combine like terms: 82 + 6 = 88 44p = 88 Divide each side by '44'. p = 2 Simplifying p = 2
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