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Simplifying a + 379 = 7a + -21 Reorder the terms: 379 + a = 7a + -21 Reorder the terms: 379 + a = -21 + 7a Solving 379 + a = -21 + 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. 379 + a + -7a = -21 + 7a + -7a Combine like terms: a + -7a = -6a 379 + -6a = -21 + 7a + -7a Combine like terms: 7a + -7a = 0 379 + -6a = -21 + 0 379 + -6a = -21 Add '-379' to each side of the equation. 379 + -379 + -6a = -21 + -379 Combine like terms: 379 + -379 = 0 0 + -6a = -21 + -379 -6a = -21 + -379 Combine like terms: -21 + -379 = -400 -6a = -400 Divide each side by '-6'. a = 66.66666667 Simplifying a = 66.66666667
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