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Simplifying 1.37 + -6p = -2(8p + -6) + -5 Reorder the terms: 1.37 + -6p = -2(-6 + 8p) + -5 1.37 + -6p = (-6 * -2 + 8p * -2) + -5 1.37 + -6p = (12 + -16p) + -5 Reorder the terms: 1.37 + -6p = 12 + -5 + -16p Combine like terms: 12 + -5 = 7 1.37 + -6p = 7 + -16p Solving 1.37 + -6p = 7 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. 1.37 + -6p + 16p = 7 + -16p + 16p Combine like terms: -6p + 16p = 10p 1.37 + 10p = 7 + -16p + 16p Combine like terms: -16p + 16p = 0 1.37 + 10p = 7 + 0 1.37 + 10p = 7 Add '-1.37' to each side of the equation. 1.37 + -1.37 + 10p = 7 + -1.37 Combine like terms: 1.37 + -1.37 = 0.00 0.00 + 10p = 7 + -1.37 10p = 7 + -1.37 Combine like terms: 7 + -1.37 = 5.63 10p = 5.63 Divide each side by '10'. p = 0.563 Simplifying p = 0.563
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