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Simplifying 376 + 12a = 280 + 15a Solving 376 + 12a = 280 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 376 + 12a + -15a = 280 + 15a + -15a Combine like terms: 12a + -15a = -3a 376 + -3a = 280 + 15a + -15a Combine like terms: 15a + -15a = 0 376 + -3a = 280 + 0 376 + -3a = 280 Add '-376' to each side of the equation. 376 + -376 + -3a = 280 + -376 Combine like terms: 376 + -376 = 0 0 + -3a = 280 + -376 -3a = 280 + -376 Combine like terms: 280 + -376 = -96 -3a = -96 Divide each side by '-3'. a = 32 Simplifying a = 32
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