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Simplifying 4a + 6(3x + -4y) + -4a + 2b = 0 4a + (3x * 6 + -4y * 6) + -4a + 2b = 0 4a + (18x + -24y) + -4a + 2b = 0 Reorder the terms: 4a + -4a + 2b + 18x + -24y = 0 Combine like terms: 4a + -4a = 0 0 + 2b + 18x + -24y = 0 2b + 18x + -24y = 0 Solving 2b + 18x + -24y = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18x' to each side of the equation. 2b + 18x + -18x + -24y = 0 + -18x Combine like terms: 18x + -18x = 0 2b + 0 + -24y = 0 + -18x 2b + -24y = 0 + -18x Remove the zero: 2b + -24y = -18x Add '24y' to each side of the equation. 2b + -24y + 24y = -18x + 24y Combine like terms: -24y + 24y = 0 2b + 0 = -18x + 24y 2b = -18x + 24y Divide each side by '2'. b = -9x + 12y Simplifying b = -9x + 12y
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