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Simplifying -3b + 5c + -4b + 2.3a + -13a + 4(1.35b + -2.5c) = 0 -3b + 5c + -4b + 2.3a + -13a + (1.35b * 4 + -2.5c * 4) = 0 -3b + 5c + -4b + 2.3a + -13a + (5.4b + -10c) = 0 Reorder the terms: 2.3a + -13a + -3b + -4b + 5.4b + 5c + -10c = 0 Combine like terms: 2.3a + -13a = -10.7a -10.7a + -3b + -4b + 5.4b + 5c + -10c = 0 Combine like terms: -3b + -4b = -7b -10.7a + -7b + 5.4b + 5c + -10c = 0 Combine like terms: -7b + 5.4b = -1.6b -10.7a + -1.6b + 5c + -10c = 0 Combine like terms: 5c + -10c = -5c -10.7a + -1.6b + -5c = 0 Solving -10.7a + -1.6b + -5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.6b' to each side of the equation. -10.7a + -1.6b + 1.6b + -5c = 0 + 1.6b Combine like terms: -1.6b + 1.6b = 0.0 -10.7a + 0.0 + -5c = 0 + 1.6b -10.7a + -5c = 0 + 1.6b Remove the zero: -10.7a + -5c = 1.6b Add '5c' to each side of the equation. -10.7a + -5c + 5c = 1.6b + 5c Combine like terms: -5c + 5c = 0 -10.7a + 0 = 1.6b + 5c -10.7a = 1.6b + 5c Divide each side by '-10.7'. a = -0.1495327103b + -0.4672897196c Simplifying a = -0.1495327103b + -0.4672897196c
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