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Simplifying 6 + -4b * 9 + -2a + -9a * 2 + 9 + -4 * -10a = 0 Reorder the terms for easier multiplication: 6 + -4 * 9b + -2a + -9a * 2 + 9 + -4 * -10a = 0 Multiply -4 * 9 6 + -36b + -2a + -9a * 2 + 9 + -4 * -10a = 0 Reorder the terms for easier multiplication: 6 + -36b + -2a + -9 * 2a + 9 + -4 * -10a = 0 Multiply -9 * 2 6 + -36b + -2a + -18a + 9 + -4 * -10a = 0 Multiply -4 * -10 6 + -36b + -2a + -18a + 9 + 40a = 0 Reorder the terms: 6 + 9 + -2a + -18a + 40a + -36b = 0 Combine like terms: 6 + 9 = 15 15 + -2a + -18a + 40a + -36b = 0 Combine like terms: -2a + -18a = -20a 15 + -20a + 40a + -36b = 0 Combine like terms: -20a + 40a = 20a 15 + 20a + -36b = 0 Solving 15 + 20a + -36b = 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 + 20a + -15 + -36b = 0 + -15 Reorder the terms: 15 + -15 + 20a + -36b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 20a + -36b = 0 + -15 20a + -36b = 0 + -15 Combine like terms: 0 + -15 = -15 20a + -36b = -15 Add '36b' to each side of the equation. 20a + -36b + 36b = -15 + 36b Combine like terms: -36b + 36b = 0 20a + 0 = -15 + 36b 20a = -15 + 36b Divide each side by '20'. a = -0.75 + 1.8b Simplifying a = -0.75 + 1.8b
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