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Simplifying 5a + 10 = 12a + -18 Reorder the terms: 10 + 5a = 12a + -18 Reorder the terms: 10 + 5a = -18 + 12a Solving 10 + 5a = -18 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 10 + 5a + -12a = -18 + 12a + -12a Combine like terms: 5a + -12a = -7a 10 + -7a = -18 + 12a + -12a Combine like terms: 12a + -12a = 0 10 + -7a = -18 + 0 10 + -7a = -18 Add '-10' to each side of the equation. 10 + -10 + -7a = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -7a = -18 + -10 -7a = -18 + -10 Combine like terms: -18 + -10 = -28 -7a = -28 Divide each side by '-7'. a = 4 Simplifying a = 4
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