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Simplifying 10a + -30 = 7a + -21 Reorder the terms: -30 + 10a = 7a + -21 Reorder the terms: -30 + 10a = -21 + 7a Solving -30 + 10a = -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. -30 + 10a + -7a = -21 + 7a + -7a Combine like terms: 10a + -7a = 3a -30 + 3a = -21 + 7a + -7a Combine like terms: 7a + -7a = 0 -30 + 3a = -21 + 0 -30 + 3a = -21 Add '30' to each side of the equation. -30 + 30 + 3a = -21 + 30 Combine like terms: -30 + 30 = 0 0 + 3a = -21 + 30 3a = -21 + 30 Combine like terms: -21 + 30 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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