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Simplifying 2a + 21 = 10a + -1(a + 7) Reorder the terms: 21 + 2a = 10a + -1(a + 7) Reorder the terms: 21 + 2a = 10a + -1(7 + a) 21 + 2a = 10a + (7 * -1 + a * -1) 21 + 2a = 10a + (-7 + -1a) Reorder the terms: 21 + 2a = -7 + 10a + -1a Combine like terms: 10a + -1a = 9a 21 + 2a = -7 + 9a Solving 21 + 2a = -7 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 21 + 2a + -9a = -7 + 9a + -9a Combine like terms: 2a + -9a = -7a 21 + -7a = -7 + 9a + -9a Combine like terms: 9a + -9a = 0 21 + -7a = -7 + 0 21 + -7a = -7 Add '-21' to each side of the equation. 21 + -21 + -7a = -7 + -21 Combine like terms: 21 + -21 = 0 0 + -7a = -7 + -21 -7a = -7 + -21 Combine like terms: -7 + -21 = -28 -7a = -28 Divide each side by '-7'. a = 4 Simplifying a = 4
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