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Simplifying 6 + -4b * 9 + -2a + -9a * 2 + 9 + -4x + -10a = 0 Reorder the terms for easier multiplication: 6 + -4 * 9b + -2a + -9a * 2 + 9 + -4x + -10a = 0 Multiply -4 * 9 6 + -36b + -2a + -9a * 2 + 9 + -4x + -10a = 0 Reorder the terms for easier multiplication: 6 + -36b + -2a + -9 * 2a + 9 + -4x + -10a = 0 Multiply -9 * 2 6 + -36b + -2a + -18a + 9 + -4x + -10a = 0 Reorder the terms: 6 + 9 + -2a + -18a + -10a + -36b + -4x = 0 Combine like terms: 6 + 9 = 15 15 + -2a + -18a + -10a + -36b + -4x = 0 Combine like terms: -2a + -18a = -20a 15 + -20a + -10a + -36b + -4x = 0 Combine like terms: -20a + -10a = -30a 15 + -30a + -36b + -4x = 0 Solving 15 + -30a + -36b + -4x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -30a + -36b + -15 + -4x = 0 + -15 Reorder the terms: 15 + -15 + -30a + -36b + -4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -30a + -36b + -4x = 0 + -15 -30a + -36b + -4x = 0 + -15 Combine like terms: 0 + -15 = -15 -30a + -36b + -4x = -15 Add '36b' to each side of the equation. -30a + -36b + 36b + -4x = -15 + 36b Combine like terms: -36b + 36b = 0 -30a + 0 + -4x = -15 + 36b -30a + -4x = -15 + 36b Add '4x' to each side of the equation. -30a + -4x + 4x = -15 + 36b + 4x Combine like terms: -4x + 4x = 0 -30a + 0 = -15 + 36b + 4x -30a = -15 + 36b + 4x Divide each side by '-30'. a = 0.5 + -1.2b + -0.1333333333x Simplifying a = 0.5 + -1.2b + -0.1333333333x
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