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Simplifying 6(p + -2) = 2 + -2(-5p + 5) Reorder the terms: 6(-2 + p) = 2 + -2(-5p + 5) (-2 * 6 + p * 6) = 2 + -2(-5p + 5) (-12 + 6p) = 2 + -2(-5p + 5) Reorder the terms: -12 + 6p = 2 + -2(5 + -5p) -12 + 6p = 2 + (5 * -2 + -5p * -2) -12 + 6p = 2 + (-10 + 10p) Combine like terms: 2 + -10 = -8 -12 + 6p = -8 + 10p Solving -12 + 6p = -8 + 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 = -8 + 10p + -10p Combine like terms: 6p + -10p = -4p -12 + -4p = -8 + 10p + -10p Combine like terms: 10p + -10p = 0 -12 + -4p = -8 + 0 -12 + -4p = -8 Add '12' to each side of the equation. -12 + 12 + -4p = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -4p = -8 + 12 -4p = -8 + 12 Combine like terms: -8 + 12 = 4 -4p = 4 Divide each side by '-4'. p = -1 Simplifying p = -1
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