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Simplifying 0.4(15b + -7) = 3b + -9 Reorder the terms: 0.4(-7 + 15b) = 3b + -9 (-7 * 0.4 + 15b * 0.4) = 3b + -9 (-2.8 + 6b) = 3b + -9 Reorder the terms: -2.8 + 6b = -9 + 3b Solving -2.8 + 6b = -9 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -2.8 + 6b + -3b = -9 + 3b + -3b Combine like terms: 6b + -3b = 3b -2.8 + 3b = -9 + 3b + -3b Combine like terms: 3b + -3b = 0 -2.8 + 3b = -9 + 0 -2.8 + 3b = -9 Add '2.8' to each side of the equation. -2.8 + 2.8 + 3b = -9 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 3b = -9 + 2.8 3b = -9 + 2.8 Combine like terms: -9 + 2.8 = -6.2 3b = -6.2 Divide each side by '3'. b = -2.066666667 Simplifying b = -2.066666667
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