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Simplifying -16p + -6(5 + -4p) = 3(p + -3) + -41 -16p + (5 * -6 + -4p * -6) = 3(p + -3) + -41 -16p + (-30 + 24p) = 3(p + -3) + -41 Reorder the terms: -30 + -16p + 24p = 3(p + -3) + -41 Combine like terms: -16p + 24p = 8p -30 + 8p = 3(p + -3) + -41 Reorder the terms: -30 + 8p = 3(-3 + p) + -41 -30 + 8p = (-3 * 3 + p * 3) + -41 -30 + 8p = (-9 + 3p) + -41 Reorder the terms: -30 + 8p = -9 + -41 + 3p Combine like terms: -9 + -41 = -50 -30 + 8p = -50 + 3p Solving -30 + 8p = -50 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -30 + 8p + -3p = -50 + 3p + -3p Combine like terms: 8p + -3p = 5p -30 + 5p = -50 + 3p + -3p Combine like terms: 3p + -3p = 0 -30 + 5p = -50 + 0 -30 + 5p = -50 Add '30' to each side of the equation. -30 + 30 + 5p = -50 + 30 Combine like terms: -30 + 30 = 0 0 + 5p = -50 + 30 5p = -50 + 30 Combine like terms: -50 + 30 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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