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Simplifying -0.5 = -0.25(a + 7) Reorder the terms: -0.5 = -0.25(7 + a) -0.5 = (7 * -0.25 + a * -0.25) -0.5 = (-1.75 + -0.25a) Solving -0.5 = -1.75 + -0.25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.25a' to each side of the equation. -0.5 + 0.25a = -1.75 + -0.25a + 0.25a Combine like terms: -0.25a + 0.25a = 0.00 -0.5 + 0.25a = -1.75 + 0.00 -0.5 + 0.25a = -1.75 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.25a = -1.75 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.25a = -1.75 + 0.5 0.25a = -1.75 + 0.5 Combine like terms: -1.75 + 0.5 = -1.25 0.25a = -1.25 Divide each side by '0.25'. a = -5 Simplifying a = -5
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