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Simplifying 5a + 6a + -81 = 7a + 102 + 65a Reorder the terms: -81 + 5a + 6a = 7a + 102 + 65a Combine like terms: 5a + 6a = 11a -81 + 11a = 7a + 102 + 65a Reorder the terms: -81 + 11a = 102 + 7a + 65a Combine like terms: 7a + 65a = 72a -81 + 11a = 102 + 72a Solving -81 + 11a = 102 + 72a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-72a' to each side of the equation. -81 + 11a + -72a = 102 + 72a + -72a Combine like terms: 11a + -72a = -61a -81 + -61a = 102 + 72a + -72a Combine like terms: 72a + -72a = 0 -81 + -61a = 102 + 0 -81 + -61a = 102 Add '81' to each side of the equation. -81 + 81 + -61a = 102 + 81 Combine like terms: -81 + 81 = 0 0 + -61a = 102 + 81 -61a = 102 + 81 Combine like terms: 102 + 81 = 183 -61a = 183 Divide each side by '-61'. a = -3 Simplifying a = -3
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