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Simplifying -17p + -6(3 + -4p) = 4(p + -6) + -18 -17p + (3 * -6 + -4p * -6) = 4(p + -6) + -18 -17p + (-18 + 24p) = 4(p + -6) + -18 Reorder the terms: -18 + -17p + 24p = 4(p + -6) + -18 Combine like terms: -17p + 24p = 7p -18 + 7p = 4(p + -6) + -18 Reorder the terms: -18 + 7p = 4(-6 + p) + -18 -18 + 7p = (-6 * 4 + p * 4) + -18 -18 + 7p = (-24 + 4p) + -18 Reorder the terms: -18 + 7p = -24 + -18 + 4p Combine like terms: -24 + -18 = -42 -18 + 7p = -42 + 4p Solving -18 + 7p = -42 + 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. -18 + 7p + -4p = -42 + 4p + -4p Combine like terms: 7p + -4p = 3p -18 + 3p = -42 + 4p + -4p Combine like terms: 4p + -4p = 0 -18 + 3p = -42 + 0 -18 + 3p = -42 Add '18' to each side of the equation. -18 + 18 + 3p = -42 + 18 Combine like terms: -18 + 18 = 0 0 + 3p = -42 + 18 3p = -42 + 18 Combine like terms: -42 + 18 = -24 3p = -24 Divide each side by '3'. p = -8 Simplifying p = -8
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