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Simplifying -0.11 = (10.7 + a) * 2 + b Reorder the terms for easier multiplication: -0.11 = 2(10.7 + a) + b -0.11 = (10.7 * 2 + a * 2) + b -0.11 = (21.4 + 2a) + b Solving -0.11 = 21.4 + 2a + b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -0.11 + -2a = 21.4 + 2a + -2a + b Combine like terms: 2a + -2a = 0 -0.11 + -2a = 21.4 + 0 + b -0.11 + -2a = 21.4 + b Add '0.11' to each side of the equation. -0.11 + 0.11 + -2a = 21.4 + 0.11 + b Combine like terms: -0.11 + 0.11 = 0.00 0.00 + -2a = 21.4 + 0.11 + b -2a = 21.4 + 0.11 + b Combine like terms: 21.4 + 0.11 = 21.51 -2a = 21.51 + b Divide each side by '-2'. a = -10.755 + -0.5b Simplifying a = -10.755 + -0.5b
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