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Simplifying 6(3b + 5) = 2(4x + -3y) Reorder the terms: 6(5 + 3b) = 2(4x + -3y) (5 * 6 + 3b * 6) = 2(4x + -3y) (30 + 18b) = 2(4x + -3y) 30 + 18b = (4x * 2 + -3y * 2) 30 + 18b = (8x + -6y) Solving 30 + 18b = 8x + -6y Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 18b = 8x + -30 + -6y Combine like terms: 30 + -30 = 0 0 + 18b = 8x + -30 + -6y 18b = 8x + -30 + -6y Reorder the terms: 18b = -30 + 8x + -6y Divide each side by '18'. b = -1.666666667 + 0.4444444444x + -0.3333333333y Simplifying b = -1.666666667 + 0.4444444444x + -0.3333333333y
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