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Simplifying -5(3p + 8) + 2(p + -3) = 0 Reorder the terms: -5(8 + 3p) + 2(p + -3) = 0 (8 * -5 + 3p * -5) + 2(p + -3) = 0 (-40 + -15p) + 2(p + -3) = 0 Reorder the terms: -40 + -15p + 2(-3 + p) = 0 -40 + -15p + (-3 * 2 + p * 2) = 0 -40 + -15p + (-6 + 2p) = 0 Reorder the terms: -40 + -6 + -15p + 2p = 0 Combine like terms: -40 + -6 = -46 -46 + -15p + 2p = 0 Combine like terms: -15p + 2p = -13p -46 + -13p = 0 Solving -46 + -13p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -13p = 0 + 46 Combine like terms: -46 + 46 = 0 0 + -13p = 0 + 46 -13p = 0 + 46 Combine like terms: 0 + 46 = 46 -13p = 46 Divide each side by '-13'. p = -3.538461538 Simplifying p = -3.538461538
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