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Simplifying 5(2 + -3b) = 4 + -3b + -5(4 + 3) (2 * 5 + -3b * 5) = 4 + -3b + -5(4 + 3) (10 + -15b) = 4 + -3b + -5(4 + 3) Combine like terms: 4 + 3 = 7 10 + -15b = 4 + -3b + -5(7) Multiply -5 * 7 10 + -15b = 4 + -3b + -35 Reorder the terms: 10 + -15b = 4 + -35 + -3b Combine like terms: 4 + -35 = -31 10 + -15b = -31 + -3b Solving 10 + -15b = -31 + -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 = -31 + -3b + 3b Combine like terms: -15b + 3b = -12b 10 + -12b = -31 + -3b + 3b Combine like terms: -3b + 3b = 0 10 + -12b = -31 + 0 10 + -12b = -31 Add '-10' to each side of the equation. 10 + -10 + -12b = -31 + -10 Combine like terms: 10 + -10 = 0 0 + -12b = -31 + -10 -12b = -31 + -10 Combine like terms: -31 + -10 = -41 -12b = -41 Divide each side by '-12'. b = 3.416666667 Simplifying b = 3.416666667
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