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Simplifying -23.5 = -6.5 + 4(a + -5) Reorder the terms: -23.5 = -6.5 + 4(-5 + a) -23.5 = -6.5 + (-5 * 4 + a * 4) -23.5 = -6.5 + (-20 + 4a) Combine like terms: -6.5 + -20 = -26.5 -23.5 = -26.5 + 4a Solving -23.5 = -26.5 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -23.5 + -4a = -26.5 + 4a + -4a Combine like terms: 4a + -4a = 0 -23.5 + -4a = -26.5 + 0 -23.5 + -4a = -26.5 Add '23.5' to each side of the equation. -23.5 + 23.5 + -4a = -26.5 + 23.5 Combine like terms: -23.5 + 23.5 = 0.0 0.0 + -4a = -26.5 + 23.5 -4a = -26.5 + 23.5 Combine like terms: -26.5 + 23.5 = -3 -4a = -3 Divide each side by '-4'. a = 0.75 Simplifying a = 0.75
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