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Simplifying 2a + -21 = 5(a + 21) Reorder the terms: -21 + 2a = 5(a + 21) Reorder the terms: -21 + 2a = 5(21 + a) -21 + 2a = (21 * 5 + a * 5) -21 + 2a = (105 + 5a) Solving -21 + 2a = 105 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -21 + 2a + -5a = 105 + 5a + -5a Combine like terms: 2a + -5a = -3a -21 + -3a = 105 + 5a + -5a Combine like terms: 5a + -5a = 0 -21 + -3a = 105 + 0 -21 + -3a = 105 Add '21' to each side of the equation. -21 + 21 + -3a = 105 + 21 Combine like terms: -21 + 21 = 0 0 + -3a = 105 + 21 -3a = 105 + 21 Combine like terms: 105 + 21 = 126 -3a = 126 Divide each side by '-3'. a = -42 Simplifying a = -42
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