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Simplifying -1.9(a + 12) = 0.6(a + -1.5) Reorder the terms: -1.9(12 + a) = 0.6(a + -1.5) (12 * -1.9 + a * -1.9) = 0.6(a + -1.5) (-22.8 + -1.9a) = 0.6(a + -1.5) Reorder the terms: -22.8 + -1.9a = 0.6(-1.5 + a) -22.8 + -1.9a = (-1.5 * 0.6 + a * 0.6) -22.8 + -1.9a = (-0.9 + 0.6a) Solving -22.8 + -1.9a = -0.9 + 0.6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.6a' to each side of the equation. -22.8 + -1.9a + -0.6a = -0.9 + 0.6a + -0.6a Combine like terms: -1.9a + -0.6a = -2.5a -22.8 + -2.5a = -0.9 + 0.6a + -0.6a Combine like terms: 0.6a + -0.6a = 0.0 -22.8 + -2.5a = -0.9 + 0.0 -22.8 + -2.5a = -0.9 Add '22.8' to each side of the equation. -22.8 + 22.8 + -2.5a = -0.9 + 22.8 Combine like terms: -22.8 + 22.8 = 0.0 0.0 + -2.5a = -0.9 + 22.8 -2.5a = -0.9 + 22.8 Combine like terms: -0.9 + 22.8 = 21.9 -2.5a = 21.9 Divide each side by '-2.5'. a = -8.76 Simplifying a = -8.76
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