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Simplifying 2.6(b + -1) + -1.38 = 1.22 Reorder the terms: 2.6(-1 + b) + -1.38 = 1.22 (-1 * 2.6 + b * 2.6) + -1.38 = 1.22 (-2.6 + 2.6b) + -1.38 = 1.22 Reorder the terms: -2.6 + -1.38 + 2.6b = 1.22 Combine like terms: -2.6 + -1.38 = -3.98 -3.98 + 2.6b = 1.22 Solving -3.98 + 2.6b = 1.22 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3.98' to each side of the equation. -3.98 + 3.98 + 2.6b = 1.22 + 3.98 Combine like terms: -3.98 + 3.98 = 0.00 0.00 + 2.6b = 1.22 + 3.98 2.6b = 1.22 + 3.98 Combine like terms: 1.22 + 3.98 = 5.2 2.6b = 5.2 Divide each side by '2.6'. b = 2 Simplifying b = 2
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