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Simplifying 5(2a + -21) = a + 21 Reorder the terms: 5(-21 + 2a) = a + 21 (-21 * 5 + 2a * 5) = a + 21 (-105 + 10a) = a + 21 Reorder the terms: -105 + 10a = 21 + a Solving -105 + 10a = 21 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -105 + 10a + -1a = 21 + a + -1a Combine like terms: 10a + -1a = 9a -105 + 9a = 21 + a + -1a Combine like terms: a + -1a = 0 -105 + 9a = 21 + 0 -105 + 9a = 21 Add '105' to each side of the equation. -105 + 105 + 9a = 21 + 105 Combine like terms: -105 + 105 = 0 0 + 9a = 21 + 105 9a = 21 + 105 Combine like terms: 21 + 105 = 126 9a = 126 Divide each side by '9'. a = 14 Simplifying a = 14
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