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Simplifying 5(2 + -3b) = 4 + -3b (2 * 5 + -3b * 5) = 4 + -3b (10 + -15b) = 4 + -3b Solving 10 + -15b = 4 + -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. 10 + -15b + 3b = 4 + -3b + 3b Combine like terms: -15b + 3b = -12b 10 + -12b = 4 + -3b + 3b Combine like terms: -3b + 3b = 0 10 + -12b = 4 + 0 10 + -12b = 4 Add '-10' to each side of the equation. 10 + -10 + -12b = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -12b = 4 + -10 -12b = 4 + -10 Combine like terms: 4 + -10 = -6 -12b = -6 Divide each side by '-12'. b = 0.5 Simplifying b = 0.5
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