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Simplifying 8(45) = 30 + a(9) Multiply 8 * 45 360 = 30 + a(9) Reorder the terms for easier multiplication: 360 = 30 + 9a Solving 360 = 30 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 360 + -9a = 30 + 9a + -9a Combine like terms: 9a + -9a = 0 360 + -9a = 30 + 0 360 + -9a = 30 Add '-360' to each side of the equation. 360 + -360 + -9a = 30 + -360 Combine like terms: 360 + -360 = 0 0 + -9a = 30 + -360 -9a = 30 + -360 Combine like terms: 30 + -360 = -330 -9a = -330 Divide each side by '-9'. a = 36.66666667 Simplifying a = 36.66666667
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