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Simplifying -1.5(a + 1) = 0.5(a + 9) Reorder the terms: -1.5(1 + a) = 0.5(a + 9) (1 * -1.5 + a * -1.5) = 0.5(a + 9) (-1.5 + -1.5a) = 0.5(a + 9) Reorder the terms: -1.5 + -1.5a = 0.5(9 + a) -1.5 + -1.5a = (9 * 0.5 + a * 0.5) -1.5 + -1.5a = (4.5 + 0.5a) Solving -1.5 + -1.5a = 4.5 + 0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5a' to each side of the equation. -1.5 + -1.5a + -0.5a = 4.5 + 0.5a + -0.5a Combine like terms: -1.5a + -0.5a = -2a -1.5 + -2a = 4.5 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 -1.5 + -2a = 4.5 + 0.0 -1.5 + -2a = 4.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + -2a = 4.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2a = 4.5 + 1.5 -2a = 4.5 + 1.5 Combine like terms: 4.5 + 1.5 = 6 -2a = 6 Divide each side by '-2'. a = -3 Simplifying a = -3
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