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Simplifying 7 + -0.7(b + -17) = 0.4(b + -17) Reorder the terms: 7 + -0.7(-17 + b) = 0.4(b + -17) 7 + (-17 * -0.7 + b * -0.7) = 0.4(b + -17) 7 + (11.9 + -0.7b) = 0.4(b + -17) Combine like terms: 7 + 11.9 = 18.9 18.9 + -0.7b = 0.4(b + -17) Reorder the terms: 18.9 + -0.7b = 0.4(-17 + b) 18.9 + -0.7b = (-17 * 0.4 + b * 0.4) 18.9 + -0.7b = (-6.8 + 0.4b) Solving 18.9 + -0.7b = -6.8 + 0.4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.4b' to each side of the equation. 18.9 + -0.7b + -0.4b = -6.8 + 0.4b + -0.4b Combine like terms: -0.7b + -0.4b = -1.1b 18.9 + -1.1b = -6.8 + 0.4b + -0.4b Combine like terms: 0.4b + -0.4b = 0.0 18.9 + -1.1b = -6.8 + 0.0 18.9 + -1.1b = -6.8 Add '-18.9' to each side of the equation. 18.9 + -18.9 + -1.1b = -6.8 + -18.9 Combine like terms: 18.9 + -18.9 = 0.0 0.0 + -1.1b = -6.8 + -18.9 -1.1b = -6.8 + -18.9 Combine like terms: -6.8 + -18.9 = -25.7 -1.1b = -25.7 Divide each side by '-1.1'. b = 23.36363636 Simplifying b = 23.36363636
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