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Simplifying 7.87 = 26.25 + 0.5a(2.5) Reorder the terms for easier multiplication: 7.87 = 26.25 + 0.5 * 2.5a Multiply 0.5 * 2.5 7.87 = 26.25 + 1.25a Solving 7.87 = 26.25 + 1.25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.25a' to each side of the equation. 7.87 + -1.25a = 26.25 + 1.25a + -1.25a Combine like terms: 1.25a + -1.25a = 0.00 7.87 + -1.25a = 26.25 + 0.00 7.87 + -1.25a = 26.25 Add '-7.87' to each side of the equation. 7.87 + -7.87 + -1.25a = 26.25 + -7.87 Combine like terms: 7.87 + -7.87 = 0.00 0.00 + -1.25a = 26.25 + -7.87 -1.25a = 26.25 + -7.87 Combine like terms: 26.25 + -7.87 = 18.38 -1.25a = 18.38 Divide each side by '-1.25'. a = -14.704 Simplifying a = -14.704
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