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Simplifying 2p + -6 = -4(-7p + -2) + -4(-2 + 6p) Reorder the terms: -6 + 2p = -4(-7p + -2) + -4(-2 + 6p) Reorder the terms: -6 + 2p = -4(-2 + -7p) + -4(-2 + 6p) -6 + 2p = (-2 * -4 + -7p * -4) + -4(-2 + 6p) -6 + 2p = (8 + 28p) + -4(-2 + 6p) -6 + 2p = 8 + 28p + (-2 * -4 + 6p * -4) -6 + 2p = 8 + 28p + (8 + -24p) Reorder the terms: -6 + 2p = 8 + 8 + 28p + -24p Combine like terms: 8 + 8 = 16 -6 + 2p = 16 + 28p + -24p Combine like terms: 28p + -24p = 4p -6 + 2p = 16 + 4p Solving -6 + 2p = 16 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -6 + 2p + -4p = 16 + 4p + -4p Combine like terms: 2p + -4p = -2p -6 + -2p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 -6 + -2p = 16 + 0 -6 + -2p = 16 Add '6' to each side of the equation. -6 + 6 + -2p = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -2p = 16 + 6 -2p = 16 + 6 Combine like terms: 16 + 6 = 22 -2p = 22 Divide each side by '-2'. p = -11 Simplifying p = -11
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