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Simplifying -3(4p + 2) + -1(5 + -14p) = 3(8 + 5p) Reorder the terms: -3(2 + 4p) + -1(5 + -14p) = 3(8 + 5p) (2 * -3 + 4p * -3) + -1(5 + -14p) = 3(8 + 5p) (-6 + -12p) + -1(5 + -14p) = 3(8 + 5p) -6 + -12p + (5 * -1 + -14p * -1) = 3(8 + 5p) -6 + -12p + (-5 + 14p) = 3(8 + 5p) Reorder the terms: -6 + -5 + -12p + 14p = 3(8 + 5p) Combine like terms: -6 + -5 = -11 -11 + -12p + 14p = 3(8 + 5p) Combine like terms: -12p + 14p = 2p -11 + 2p = 3(8 + 5p) -11 + 2p = (8 * 3 + 5p * 3) -11 + 2p = (24 + 15p) Solving -11 + 2p = 24 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -11 + 2p + -15p = 24 + 15p + -15p Combine like terms: 2p + -15p = -13p -11 + -13p = 24 + 15p + -15p Combine like terms: 15p + -15p = 0 -11 + -13p = 24 + 0 -11 + -13p = 24 Add '11' to each side of the equation. -11 + 11 + -13p = 24 + 11 Combine like terms: -11 + 11 = 0 0 + -13p = 24 + 11 -13p = 24 + 11 Combine like terms: 24 + 11 = 35 -13p = 35 Divide each side by '-13'. p = -2.692307692 Simplifying p = -2.692307692
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