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Simplifying (-21 + 8.43) + (-1.4b + 2) = -12b + 38 Combine like terms: -21 + 8.43 = -12.57 (-12.57) + (-1.4b + 2) = -12b + 38 -12.57 + (-1.4b + 2) = -12b + 38 Reorder the terms: -12.57 + (2 + -1.4b) = -12b + 38 Remove parenthesis around (2 + -1.4b) -12.57 + 2 + -1.4b = -12b + 38 Combine like terms: -12.57 + 2 = -10.57 -10.57 + -1.4b = -12b + 38 Reorder the terms: -10.57 + -1.4b = 38 + -12b Solving -10.57 + -1.4b = 38 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -10.57 + -1.4b + 12b = 38 + -12b + 12b Combine like terms: -1.4b + 12b = 10.6b -10.57 + 10.6b = 38 + -12b + 12b Combine like terms: -12b + 12b = 0 -10.57 + 10.6b = 38 + 0 -10.57 + 10.6b = 38 Add '10.57' to each side of the equation. -10.57 + 10.57 + 10.6b = 38 + 10.57 Combine like terms: -10.57 + 10.57 = 0.00 0.00 + 10.6b = 38 + 10.57 10.6b = 38 + 10.57 Combine like terms: 38 + 10.57 = 48.57 10.6b = 48.57 Divide each side by '10.6'. b = 4.582075472 Simplifying b = 4.582075472
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