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Simplifying 1.3(a + -0.4) + -3.1(b + 0.7) = 0 Reorder the terms: 1.3(-0.4 + a) + -3.1(b + 0.7) = 0 (-0.4 * 1.3 + a * 1.3) + -3.1(b + 0.7) = 0 (-0.52 + 1.3a) + -3.1(b + 0.7) = 0 Reorder the terms: -0.52 + 1.3a + -3.1(0.7 + b) = 0 -0.52 + 1.3a + (0.7 * -3.1 + b * -3.1) = 0 -0.52 + 1.3a + (-2.17 + -3.1b) = 0 Reorder the terms: -0.52 + -2.17 + 1.3a + -3.1b = 0 Combine like terms: -0.52 + -2.17 = -2.69 -2.69 + 1.3a + -3.1b = 0 Solving -2.69 + 1.3a + -3.1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2.69' to each side of the equation. -2.69 + 1.3a + 2.69 + -3.1b = 0 + 2.69 Reorder the terms: -2.69 + 2.69 + 1.3a + -3.1b = 0 + 2.69 Combine like terms: -2.69 + 2.69 = 0.00 0.00 + 1.3a + -3.1b = 0 + 2.69 1.3a + -3.1b = 0 + 2.69 Combine like terms: 0 + 2.69 = 2.69 1.3a + -3.1b = 2.69 Add '3.1b' to each side of the equation. 1.3a + -3.1b + 3.1b = 2.69 + 3.1b Combine like terms: -3.1b + 3.1b = 0.0 1.3a + 0.0 = 2.69 + 3.1b 1.3a = 2.69 + 3.1b Divide each side by '1.3'. a = 2.069230769 + 2.384615385b Simplifying a = 2.069230769 + 2.384615385b
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