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Simplifying 2a + -6 = 5a + -45 Reorder the terms: -6 + 2a = 5a + -45 Reorder the terms: -6 + 2a = -45 + 5a Solving -6 + 2a = -45 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -6 + 2a + -5a = -45 + 5a + -5a Combine like terms: 2a + -5a = -3a -6 + -3a = -45 + 5a + -5a Combine like terms: 5a + -5a = 0 -6 + -3a = -45 + 0 -6 + -3a = -45 Add '6' to each side of the equation. -6 + 6 + -3a = -45 + 6 Combine like terms: -6 + 6 = 0 0 + -3a = -45 + 6 -3a = -45 + 6 Combine like terms: -45 + 6 = -39 -3a = -39 Divide each side by '-3'. a = 13 Simplifying a = 13
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