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Simplifying -0.4(a + -15) = 0.1(a + -15) Reorder the terms: -0.4(-15 + a) = 0.1(a + -15) (-15 * -0.4 + a * -0.4) = 0.1(a + -15) (6 + -0.4a) = 0.1(a + -15) Reorder the terms: 6 + -0.4a = 0.1(-15 + a) 6 + -0.4a = (-15 * 0.1 + a * 0.1) 6 + -0.4a = (-1.5 + 0.1a) Solving 6 + -0.4a = -1.5 + 0.1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.1a' to each side of the equation. 6 + -0.4a + -0.1a = -1.5 + 0.1a + -0.1a Combine like terms: -0.4a + -0.1a = -0.5a 6 + -0.5a = -1.5 + 0.1a + -0.1a Combine like terms: 0.1a + -0.1a = 0.0 6 + -0.5a = -1.5 + 0.0 6 + -0.5a = -1.5 Add '-6' to each side of the equation. 6 + -6 + -0.5a = -1.5 + -6 Combine like terms: 6 + -6 = 0 0 + -0.5a = -1.5 + -6 -0.5a = -1.5 + -6 Combine like terms: -1.5 + -6 = -7.5 -0.5a = -7.5 Divide each side by '-0.5'. a = 15 Simplifying a = 15
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