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Simplifying 3.4(x + -2a) + -2.1(x + 3) = 2.4 Reorder the terms: 3.4(-2a + x) + -2.1(x + 3) = 2.4 (-2a * 3.4 + x * 3.4) + -2.1(x + 3) = 2.4 (-6.8a + 3.4x) + -2.1(x + 3) = 2.4 Reorder the terms: -6.8a + 3.4x + -2.1(3 + x) = 2.4 -6.8a + 3.4x + (3 * -2.1 + x * -2.1) = 2.4 -6.8a + 3.4x + (-6.3 + -2.1x) = 2.4 Reorder the terms: -6.3 + -6.8a + 3.4x + -2.1x = 2.4 Combine like terms: 3.4x + -2.1x = 1.3x -6.3 + -6.8a + 1.3x = 2.4 Solving -6.3 + -6.8a + 1.3x = 2.4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6.3' to each side of the equation. -6.3 + -6.8a + 6.3 + 1.3x = 2.4 + 6.3 Reorder the terms: -6.3 + 6.3 + -6.8a + 1.3x = 2.4 + 6.3 Combine like terms: -6.3 + 6.3 = 0.0 0.0 + -6.8a + 1.3x = 2.4 + 6.3 -6.8a + 1.3x = 2.4 + 6.3 Combine like terms: 2.4 + 6.3 = 8.7 -6.8a + 1.3x = 8.7 Add '-1.3x' to each side of the equation. -6.8a + 1.3x + -1.3x = 8.7 + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -6.8a + 0.0 = 8.7 + -1.3x -6.8a = 8.7 + -1.3x Divide each side by '-6.8'. a = -1.279411765 + 0.1911764706x Simplifying a = -1.279411765 + 0.1911764706x
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