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Simplifying 2a + 36 = 5(6a + -4) Reorder the terms: 36 + 2a = 5(6a + -4) Reorder the terms: 36 + 2a = 5(-4 + 6a) 36 + 2a = (-4 * 5 + 6a * 5) 36 + 2a = (-20 + 30a) Solving 36 + 2a = -20 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. 36 + 2a + -30a = -20 + 30a + -30a Combine like terms: 2a + -30a = -28a 36 + -28a = -20 + 30a + -30a Combine like terms: 30a + -30a = 0 36 + -28a = -20 + 0 36 + -28a = -20 Add '-36' to each side of the equation. 36 + -36 + -28a = -20 + -36 Combine like terms: 36 + -36 = 0 0 + -28a = -20 + -36 -28a = -20 + -36 Combine like terms: -20 + -36 = -56 -28a = -56 Divide each side by '-28'. a = 2 Simplifying a = 2
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