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Simplifying -17p + -6(5 + -4p) = 4(p + -2) + -19 -17p + (5 * -6 + -4p * -6) = 4(p + -2) + -19 -17p + (-30 + 24p) = 4(p + -2) + -19 Reorder the terms: -30 + -17p + 24p = 4(p + -2) + -19 Combine like terms: -17p + 24p = 7p -30 + 7p = 4(p + -2) + -19 Reorder the terms: -30 + 7p = 4(-2 + p) + -19 -30 + 7p = (-2 * 4 + p * 4) + -19 -30 + 7p = (-8 + 4p) + -19 Reorder the terms: -30 + 7p = -8 + -19 + 4p Combine like terms: -8 + -19 = -27 -30 + 7p = -27 + 4p Solving -30 + 7p = -27 + 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. -30 + 7p + -4p = -27 + 4p + -4p Combine like terms: 7p + -4p = 3p -30 + 3p = -27 + 4p + -4p Combine like terms: 4p + -4p = 0 -30 + 3p = -27 + 0 -30 + 3p = -27 Add '30' to each side of the equation. -30 + 30 + 3p = -27 + 30 Combine like terms: -30 + 30 = 0 0 + 3p = -27 + 30 3p = -27 + 30 Combine like terms: -27 + 30 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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