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Simplifying -3.1b + 2.1 = -0.7(5b + -6) Reorder the terms: 2.1 + -3.1b = -0.7(5b + -6) Reorder the terms: 2.1 + -3.1b = -0.7(-6 + 5b) 2.1 + -3.1b = (-6 * -0.7 + 5b * -0.7) 2.1 + -3.1b = (4.2 + -3.5b) Solving 2.1 + -3.1b = 4.2 + -3.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3.5b' to each side of the equation. 2.1 + -3.1b + 3.5b = 4.2 + -3.5b + 3.5b Combine like terms: -3.1b + 3.5b = 0.4b 2.1 + 0.4b = 4.2 + -3.5b + 3.5b Combine like terms: -3.5b + 3.5b = 0.0 2.1 + 0.4b = 4.2 + 0.0 2.1 + 0.4b = 4.2 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 0.4b = 4.2 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 0.4b = 4.2 + -2.1 0.4b = 4.2 + -2.1 Combine like terms: 4.2 + -2.1 = 2.1 0.4b = 2.1 Divide each side by '0.4'. b = 5.25 Simplifying b = 5.25
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