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Simplifying 4p + -6(p + -3) = 10 + -6p Reorder the terms: 4p + -6(-3 + p) = 10 + -6p 4p + (-3 * -6 + p * -6) = 10 + -6p 4p + (18 + -6p) = 10 + -6p Reorder the terms: 18 + 4p + -6p = 10 + -6p Combine like terms: 4p + -6p = -2p 18 + -2p = 10 + -6p Solving 18 + -2p = 10 + -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. 18 + -2p + 6p = 10 + -6p + 6p Combine like terms: -2p + 6p = 4p 18 + 4p = 10 + -6p + 6p Combine like terms: -6p + 6p = 0 18 + 4p = 10 + 0 18 + 4p = 10 Add '-18' to each side of the equation. 18 + -18 + 4p = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 4p = 10 + -18 4p = 10 + -18 Combine like terms: 10 + -18 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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