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Simplifying 5(-8 + 3p) + -2[2(-4p + 3)] = 0 (-8 * 5 + 3p * 5) + -2[2(-4p + 3)] = 0 (-40 + 15p) + -2[2(-4p + 3)] = 0 Reorder the terms: -40 + 15p + -2[2(3 + -4p)] = 0 -40 + 15p + -2[(3 * 2 + -4p * 2)] = 0 -40 + 15p + -2[(6 + -8p)] = 0 -40 + 15p + [6 * -2 + -8p * -2] = 0 -40 + 15p + [-12 + 16p] = 0 Reorder the terms: -40 + -12 + 15p + 16p = 0 Combine like terms: -40 + -12 = -52 -52 + 15p + 16p = 0 Combine like terms: 15p + 16p = 31p -52 + 31p = 0 Solving -52 + 31p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 31p = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 31p = 0 + 52 31p = 0 + 52 Combine like terms: 0 + 52 = 52 31p = 52 Divide each side by '31'. p = 1.677419355 Simplifying p = 1.677419355
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