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Simplifying -3b + 5c + -4b + 2.3a + -13a + 4(1.35b) + -2.5c = 0 Remove parenthesis around (1.35b) -3b + 5c + -4b + 2.3a + -13a + 4 * 1.35b + -2.5c = 0 Multiply 4 * 1.35 -3b + 5c + -4b + 2.3a + -13a + 5.4b + -2.5c = 0 Reorder the terms: 2.3a + -13a + -3b + -4b + 5.4b + 5c + -2.5c = 0 Combine like terms: 2.3a + -13a = -10.7a -10.7a + -3b + -4b + 5.4b + 5c + -2.5c = 0 Combine like terms: -3b + -4b = -7b -10.7a + -7b + 5.4b + 5c + -2.5c = 0 Combine like terms: -7b + 5.4b = -1.6b -10.7a + -1.6b + 5c + -2.5c = 0 Combine like terms: 5c + -2.5c = 2.5c -10.7a + -1.6b + 2.5c = 0 Solving -10.7a + -1.6b + 2.5c = 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 + 2.5c = 0 + 1.6b Combine like terms: -1.6b + 1.6b = 0.0 -10.7a + 0.0 + 2.5c = 0 + 1.6b -10.7a + 2.5c = 0 + 1.6b Remove the zero: -10.7a + 2.5c = 1.6b Add '-2.5c' to each side of the equation. -10.7a + 2.5c + -2.5c = 1.6b + -2.5c Combine like terms: 2.5c + -2.5c = 0.0 -10.7a + 0.0 = 1.6b + -2.5c -10.7a = 1.6b + -2.5c Divide each side by '-10.7'. a = -0.1495327103b + 0.2336448598c Simplifying a = -0.1495327103b + 0.2336448598c
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