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Simplifying 5a + -2 = 0.2(10a + -4) Reorder the terms: -2 + 5a = 0.2(10a + -4) Reorder the terms: -2 + 5a = 0.2(-4 + 10a) -2 + 5a = (-4 * 0.2 + 10a * 0.2) -2 + 5a = (-0.8 + 2a) Solving -2 + 5a = -0.8 + 2a 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. -2 + 5a + -2a = -0.8 + 2a + -2a Combine like terms: 5a + -2a = 3a -2 + 3a = -0.8 + 2a + -2a Combine like terms: 2a + -2a = 0 -2 + 3a = -0.8 + 0 -2 + 3a = -0.8 Add '2' to each side of the equation. -2 + 2 + 3a = -0.8 + 2 Combine like terms: -2 + 2 = 0 0 + 3a = -0.8 + 2 3a = -0.8 + 2 Combine like terms: -0.8 + 2 = 1.2 3a = 1.2 Divide each side by '3'. a = 0.4 Simplifying a = 0.4
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