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Simplifying 61 = -3 + 2(5a + 2) Reorder the terms: 61 = -3 + 2(2 + 5a) 61 = -3 + (2 * 2 + 5a * 2) 61 = -3 + (4 + 10a) Combine like terms: -3 + 4 = 1 61 = 1 + 10a Solving 61 = 1 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 61 + -10a = 1 + 10a + -10a Combine like terms: 10a + -10a = 0 61 + -10a = 1 + 0 61 + -10a = 1 Add '-61' to each side of the equation. 61 + -61 + -10a = 1 + -61 Combine like terms: 61 + -61 = 0 0 + -10a = 1 + -61 -10a = 1 + -61 Combine like terms: 1 + -61 = -60 -10a = -60 Divide each side by '-10'. a = 6 Simplifying a = 6
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