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Simplifying -0.9(a + 1) = 0.1(a + 9) Reorder the terms: -0.9(1 + a) = 0.1(a + 9) (1 * -0.9 + a * -0.9) = 0.1(a + 9) (-0.9 + -0.9a) = 0.1(a + 9) Reorder the terms: -0.9 + -0.9a = 0.1(9 + a) -0.9 + -0.9a = (9 * 0.1 + a * 0.1) -0.9 + -0.9a = (0.9 + 0.1a) Solving -0.9 + -0.9a = 0.9 + 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. -0.9 + -0.9a + -0.1a = 0.9 + 0.1a + -0.1a Combine like terms: -0.9a + -0.1a = -1a -0.9 + -1a = 0.9 + 0.1a + -0.1a Combine like terms: 0.1a + -0.1a = 0.0 -0.9 + -1a = 0.9 + 0.0 -0.9 + -1a = 0.9 Add '0.9' to each side of the equation. -0.9 + 0.9 + -1a = 0.9 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -1a = 0.9 + 0.9 -1a = 0.9 + 0.9 Combine like terms: 0.9 + 0.9 = 1.8 -1a = 1.8 Divide each side by '-1'. a = -1.8 Simplifying a = -1.8
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