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Simplifying 6 + 5a = 7a + -18 Reorder the terms: 6 + 5a = -18 + 7a Solving 6 + 5a = -18 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 6 + 5a + -7a = -18 + 7a + -7a Combine like terms: 5a + -7a = -2a 6 + -2a = -18 + 7a + -7a Combine like terms: 7a + -7a = 0 6 + -2a = -18 + 0 6 + -2a = -18 Add '-6' to each side of the equation. 6 + -6 + -2a = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -2a = -18 + -6 -2a = -18 + -6 Combine like terms: -18 + -6 = -24 -2a = -24 Divide each side by '-2'. a = 12 Simplifying a = 12
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