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Simplifying 10a + -3a + 4 = 2a + -21 Reorder the terms: 4 + 10a + -3a = 2a + -21 Combine like terms: 10a + -3a = 7a 4 + 7a = 2a + -21 Reorder the terms: 4 + 7a = -21 + 2a Solving 4 + 7a = -21 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 4 + 7a + -2a = -21 + 2a + -2a Combine like terms: 7a + -2a = 5a 4 + 5a = -21 + 2a + -2a Combine like terms: 2a + -2a = 0 4 + 5a = -21 + 0 4 + 5a = -21 Add '-4' to each side of the equation. 4 + -4 + 5a = -21 + -4 Combine like terms: 4 + -4 = 0 0 + 5a = -21 + -4 5a = -21 + -4 Combine like terms: -21 + -4 = -25 5a = -25 Divide each side by '5'. a = -5 Simplifying a = -5
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