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Simplifying -0.5(4a + 1) = 0.5(-5 + -2a) Reorder the terms: -0.5(1 + 4a) = 0.5(-5 + -2a) (1 * -0.5 + 4a * -0.5) = 0.5(-5 + -2a) (-0.5 + -2a) = 0.5(-5 + -2a) -0.5 + -2a = (-5 * 0.5 + -2a * 0.5) -0.5 + -2a = (-2.5 + -1a) Solving -0.5 + -2a = -2.5 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -0.5 + -2a + a = -2.5 + -1a + a Combine like terms: -2a + a = -1a -0.5 + -1a = -2.5 + -1a + a Combine like terms: -1a + a = 0 -0.5 + -1a = -2.5 + 0 -0.5 + -1a = -2.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + -1a = -2.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -1a = -2.5 + 0.5 -1a = -2.5 + 0.5 Combine like terms: -2.5 + 0.5 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2
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