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Simplifying p + -4 = 10(6p + 6) + 6(-3 + -6p) Reorder the terms: -4 + p = 10(6p + 6) + 6(-3 + -6p) Reorder the terms: -4 + p = 10(6 + 6p) + 6(-3 + -6p) -4 + p = (6 * 10 + 6p * 10) + 6(-3 + -6p) -4 + p = (60 + 60p) + 6(-3 + -6p) -4 + p = 60 + 60p + (-3 * 6 + -6p * 6) -4 + p = 60 + 60p + (-18 + -36p) Reorder the terms: -4 + p = 60 + -18 + 60p + -36p Combine like terms: 60 + -18 = 42 -4 + p = 42 + 60p + -36p Combine like terms: 60p + -36p = 24p -4 + p = 42 + 24p Solving -4 + p = 42 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -4 + p + -24p = 42 + 24p + -24p Combine like terms: p + -24p = -23p -4 + -23p = 42 + 24p + -24p Combine like terms: 24p + -24p = 0 -4 + -23p = 42 + 0 -4 + -23p = 42 Add '4' to each side of the equation. -4 + 4 + -23p = 42 + 4 Combine like terms: -4 + 4 = 0 0 + -23p = 42 + 4 -23p = 42 + 4 Combine like terms: 42 + 4 = 46 -23p = 46 Divide each side by '-23'. p = -2 Simplifying p = -2
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