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Simplifying -3(-5x + 4y + -6b) = 0 Reorder the terms: -3(-6b + -5x + 4y) = 0 (-6b * -3 + -5x * -3 + 4y * -3) = 0 (18b + 15x + -12y) = 0 Solving 18b + 15x + -12y = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15x' to each side of the equation. 18b + 15x + -15x + -12y = 0 + -15x Combine like terms: 15x + -15x = 0 18b + 0 + -12y = 0 + -15x 18b + -12y = 0 + -15x Remove the zero: 18b + -12y = -15x Add '12y' to each side of the equation. 18b + -12y + 12y = -15x + 12y Combine like terms: -12y + 12y = 0 18b + 0 = -15x + 12y 18b = -15x + 12y Divide each side by '18'. b = -0.8333333333x + 0.6666666667y Simplifying b = -0.8333333333x + 0.6666666667y
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