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Simplifying -2.1(0.3m + 2.4) + 1.7(2.1 + -1.3b) = 7.05 Reorder the terms: -2.1(2.4 + 0.3m) + 1.7(2.1 + -1.3b) = 7.05 (2.4 * -2.1 + 0.3m * -2.1) + 1.7(2.1 + -1.3b) = 7.05 (-5.04 + -0.63m) + 1.7(2.1 + -1.3b) = 7.05 -5.04 + -0.63m + (2.1 * 1.7 + -1.3b * 1.7) = 7.05 -5.04 + -0.63m + (3.57 + -2.21b) = 7.05 Reorder the terms: -5.04 + 3.57 + -2.21b + -0.63m = 7.05 Combine like terms: -5.04 + 3.57 = -1.47 -1.47 + -2.21b + -0.63m = 7.05 Solving -1.47 + -2.21b + -0.63m = 7.05 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1.47' to each side of the equation. -1.47 + -2.21b + 1.47 + -0.63m = 7.05 + 1.47 Reorder the terms: -1.47 + 1.47 + -2.21b + -0.63m = 7.05 + 1.47 Combine like terms: -1.47 + 1.47 = 0.00 0.00 + -2.21b + -0.63m = 7.05 + 1.47 -2.21b + -0.63m = 7.05 + 1.47 Combine like terms: 7.05 + 1.47 = 8.52 -2.21b + -0.63m = 8.52 Add '0.63m' to each side of the equation. -2.21b + -0.63m + 0.63m = 8.52 + 0.63m Combine like terms: -0.63m + 0.63m = 0.00 -2.21b + 0.00 = 8.52 + 0.63m -2.21b = 8.52 + 0.63m Divide each side by '-2.21'. b = -3.85520362 + -0.2850678733m Simplifying b = -3.85520362 + -0.2850678733m
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