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Simplifying -2p + -6(p + -7) = 30 + -6p Reorder the terms: -2p + -6(-7 + p) = 30 + -6p -2p + (-7 * -6 + p * -6) = 30 + -6p -2p + (42 + -6p) = 30 + -6p Reorder the terms: 42 + -2p + -6p = 30 + -6p Combine like terms: -2p + -6p = -8p 42 + -8p = 30 + -6p Solving 42 + -8p = 30 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 42 + -8p + 6p = 30 + -6p + 6p Combine like terms: -8p + 6p = -2p 42 + -2p = 30 + -6p + 6p Combine like terms: -6p + 6p = 0 42 + -2p = 30 + 0 42 + -2p = 30 Add '-42' to each side of the equation. 42 + -42 + -2p = 30 + -42 Combine like terms: 42 + -42 = 0 0 + -2p = 30 + -42 -2p = 30 + -42 Combine like terms: 30 + -42 = -12 -2p = -12 Divide each side by '-2'. p = 6 Simplifying p = 6
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