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Simplifying 9(0.3 + 0.4b) + -3b + 3 = 6 + -1(0.3 + 0.4b) + b (0.3 * 9 + 0.4b * 9) + -3b + 3 = 6 + -1(0.3 + 0.4b) + b (2.7 + 3.6b) + -3b + 3 = 6 + -1(0.3 + 0.4b) + b Reorder the terms: 2.7 + 3 + 3.6b + -3b = 6 + -1(0.3 + 0.4b) + b Combine like terms: 2.7 + 3 = 5.7 5.7 + 3.6b + -3b = 6 + -1(0.3 + 0.4b) + b Combine like terms: 3.6b + -3b = 0.6b 5.7 + 0.6b = 6 + -1(0.3 + 0.4b) + b 5.7 + 0.6b = 6 + (0.3 * -1 + 0.4b * -1) + b 5.7 + 0.6b = 6 + (-0.3 + -0.4b) + b Combine like terms: 6 + -0.3 = 5.7 5.7 + 0.6b = 5.7 + -0.4b + b Combine like terms: -0.4b + b = 0.6b 5.7 + 0.6b = 5.7 + 0.6b Add '-5.7' to each side of the equation. 5.7 + -5.7 + 0.6b = 5.7 + -5.7 + 0.6b Combine like terms: 5.7 + -5.7 = 0.0 0.0 + 0.6b = 5.7 + -5.7 + 0.6b 0.6b = 5.7 + -5.7 + 0.6b Combine like terms: 5.7 + -5.7 = 0.0 0.6b = 0.0 + 0.6b 0.6b = 0.6b Add '-0.6b' to each side of the equation. 0.6b + -0.6b = 0.6b + -0.6b Combine like terms: 0.6b + -0.6b = 0.0 0.0 = 0.6b + -0.6b Combine like terms: 0.6b + -0.6b = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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