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Simplifying 12 + -6p = -1(10p + -4) Reorder the terms: 12 + -6p = -1(-4 + 10p) 12 + -6p = (-4 * -1 + 10p * -1) 12 + -6p = (4 + -10p) Solving 12 + -6p = 4 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 12 + -6p + 10p = 4 + -10p + 10p Combine like terms: -6p + 10p = 4p 12 + 4p = 4 + -10p + 10p Combine like terms: -10p + 10p = 0 12 + 4p = 4 + 0 12 + 4p = 4 Add '-12' to each side of the equation. 12 + -12 + 4p = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 4p = 4 + -12 4p = 4 + -12 Combine like terms: 4 + -12 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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