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Simplifying -3.459 + -2.19a = 1.4(-6.7 + -0.2a) -3.459 + -2.19a = (-6.7 * 1.4 + -0.2a * 1.4) -3.459 + -2.19a = (-9.38 + -0.28a) Solving -3.459 + -2.19a = -9.38 + -0.28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.28a' to each side of the equation. -3.459 + -2.19a + 0.28a = -9.38 + -0.28a + 0.28a Combine like terms: -2.19a + 0.28a = -1.91a -3.459 + -1.91a = -9.38 + -0.28a + 0.28a Combine like terms: -0.28a + 0.28a = 0.00 -3.459 + -1.91a = -9.38 + 0.00 -3.459 + -1.91a = -9.38 Add '3.459' to each side of the equation. -3.459 + 3.459 + -1.91a = -9.38 + 3.459 Combine like terms: -3.459 + 3.459 = 0.000 0.000 + -1.91a = -9.38 + 3.459 -1.91a = -9.38 + 3.459 Combine like terms: -9.38 + 3.459 = -5.921 -1.91a = -5.921 Divide each side by '-1.91'. a = 3.1 Simplifying a = 3.1
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