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Simplifying 8.7(6.2b + -10.513) + 1.4 = 13.8(-2.1b + 5.9) Reorder the terms: 8.7(-10.513 + 6.2b) + 1.4 = 13.8(-2.1b + 5.9) (-10.513 * 8.7 + 6.2b * 8.7) + 1.4 = 13.8(-2.1b + 5.9) (-91.4631 + 53.94b) + 1.4 = 13.8(-2.1b + 5.9) Reorder the terms: -91.4631 + 1.4 + 53.94b = 13.8(-2.1b + 5.9) Combine like terms: -91.4631 + 1.4 = -90.0631 -90.0631 + 53.94b = 13.8(-2.1b + 5.9) Reorder the terms: -90.0631 + 53.94b = 13.8(5.9 + -2.1b) -90.0631 + 53.94b = (5.9 * 13.8 + -2.1b * 13.8) -90.0631 + 53.94b = (81.42 + -28.98b) Solving -90.0631 + 53.94b = 81.42 + -28.98b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '28.98b' to each side of the equation. -90.0631 + 53.94b + 28.98b = 81.42 + -28.98b + 28.98b Combine like terms: 53.94b + 28.98b = 82.92b -90.0631 + 82.92b = 81.42 + -28.98b + 28.98b Combine like terms: -28.98b + 28.98b = 0.00 -90.0631 + 82.92b = 81.42 + 0.00 -90.0631 + 82.92b = 81.42 Add '90.0631' to each side of the equation. -90.0631 + 90.0631 + 82.92b = 81.42 + 90.0631 Combine like terms: -90.0631 + 90.0631 = 0.0000 0.0000 + 82.92b = 81.42 + 90.0631 82.92b = 81.42 + 90.0631 Combine like terms: 81.42 + 90.0631 = 171.4831 82.92b = 171.4831 Divide each side by '82.92'. b = 2.068054752 Simplifying b = 2.068054752
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