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Simplifying 10p + -2(3p + -6) = -4(5p + -6) Reorder the terms: 10p + -2(-6 + 3p) = -4(5p + -6) 10p + (-6 * -2 + 3p * -2) = -4(5p + -6) 10p + (12 + -6p) = -4(5p + -6) Reorder the terms: 12 + 10p + -6p = -4(5p + -6) Combine like terms: 10p + -6p = 4p 12 + 4p = -4(5p + -6) Reorder the terms: 12 + 4p = -4(-6 + 5p) 12 + 4p = (-6 * -4 + 5p * -4) 12 + 4p = (24 + -20p) Solving 12 + 4p = 24 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. 12 + 4p + 20p = 24 + -20p + 20p Combine like terms: 4p + 20p = 24p 12 + 24p = 24 + -20p + 20p Combine like terms: -20p + 20p = 0 12 + 24p = 24 + 0 12 + 24p = 24 Add '-12' to each side of the equation. 12 + -12 + 24p = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 24p = 24 + -12 24p = 24 + -12 Combine like terms: 24 + -12 = 12 24p = 12 Divide each side by '24'. p = 0.5 Simplifying p = 0.5
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