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Simplifying 5a + -45 = 2a + -16 Reorder the terms: -45 + 5a = 2a + -16 Reorder the terms: -45 + 5a = -16 + 2a Solving -45 + 5a = -16 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -45 + 5a + -2a = -16 + 2a + -2a Combine like terms: 5a + -2a = 3a -45 + 3a = -16 + 2a + -2a Combine like terms: 2a + -2a = 0 -45 + 3a = -16 + 0 -45 + 3a = -16 Add '45' to each side of the equation. -45 + 45 + 3a = -16 + 45 Combine like terms: -45 + 45 = 0 0 + 3a = -16 + 45 3a = -16 + 45 Combine like terms: -16 + 45 = 29 3a = 29 Divide each side by '3'. a = 9.666666667 Simplifying a = 9.666666667
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