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Simplifying 0.7(6 + 9a) + 4.5(4a + -6) = 0 (6 * 0.7 + 9a * 0.7) + 4.5(4a + -6) = 0 (4.2 + 6.3a) + 4.5(4a + -6) = 0 Reorder the terms: 4.2 + 6.3a + 4.5(-6 + 4a) = 0 4.2 + 6.3a + (-6 * 4.5 + 4a * 4.5) = 0 4.2 + 6.3a + (-27 + 18a) = 0 Reorder the terms: 4.2 + -27 + 6.3a + 18a = 0 Combine like terms: 4.2 + -27 = -22.8 -22.8 + 6.3a + 18a = 0 Combine like terms: 6.3a + 18a = 24.3a -22.8 + 24.3a = 0 Solving -22.8 + 24.3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22.8' to each side of the equation. -22.8 + 22.8 + 24.3a = 0 + 22.8 Combine like terms: -22.8 + 22.8 = 0.0 0.0 + 24.3a = 0 + 22.8 24.3a = 0 + 22.8 Combine like terms: 0 + 22.8 = 22.8 24.3a = 22.8 Divide each side by '24.3'. a = 0.9382716049 Simplifying a = 0.9382716049
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