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Simplifying -1.5(a + 3) = 0.5(a + -5) Reorder the terms: -1.5(3 + a) = 0.5(a + -5) (3 * -1.5 + a * -1.5) = 0.5(a + -5) (-4.5 + -1.5a) = 0.5(a + -5) Reorder the terms: -4.5 + -1.5a = 0.5(-5 + a) -4.5 + -1.5a = (-5 * 0.5 + a * 0.5) -4.5 + -1.5a = (-2.5 + 0.5a) Solving -4.5 + -1.5a = -2.5 + 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. -4.5 + -1.5a + -0.5a = -2.5 + 0.5a + -0.5a Combine like terms: -1.5a + -0.5a = -2a -4.5 + -2a = -2.5 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 -4.5 + -2a = -2.5 + 0.0 -4.5 + -2a = -2.5 Add '4.5' to each side of the equation. -4.5 + 4.5 + -2a = -2.5 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -2a = -2.5 + 4.5 -2a = -2.5 + 4.5 Combine like terms: -2.5 + 4.5 = 2 -2a = 2 Divide each side by '-2'. a = -1 Simplifying a = -1
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