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Simplifying -4(p + -6) = -7 + -1(6p + 1) Reorder the terms: -4(-6 + p) = -7 + -1(6p + 1) (-6 * -4 + p * -4) = -7 + -1(6p + 1) (24 + -4p) = -7 + -1(6p + 1) Reorder the terms: 24 + -4p = -7 + -1(1 + 6p) 24 + -4p = -7 + (1 * -1 + 6p * -1) 24 + -4p = -7 + (-1 + -6p) Combine like terms: -7 + -1 = -8 24 + -4p = -8 + -6p Solving 24 + -4p = -8 + -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. 24 + -4p + 6p = -8 + -6p + 6p Combine like terms: -4p + 6p = 2p 24 + 2p = -8 + -6p + 6p Combine like terms: -6p + 6p = 0 24 + 2p = -8 + 0 24 + 2p = -8 Add '-24' to each side of the equation. 24 + -24 + 2p = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 2p = -8 + -24 2p = -8 + -24 Combine like terms: -8 + -24 = -32 2p = -32 Divide each side by '2'. p = -16 Simplifying p = -16
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