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Simplifying a + 61 = 7a + 19 Reorder the terms: 61 + a = 7a + 19 Reorder the terms: 61 + a = 19 + 7a Solving 61 + a = 19 + 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. 61 + a + -7a = 19 + 7a + -7a Combine like terms: a + -7a = -6a 61 + -6a = 19 + 7a + -7a Combine like terms: 7a + -7a = 0 61 + -6a = 19 + 0 61 + -6a = 19 Add '-61' to each side of the equation. 61 + -61 + -6a = 19 + -61 Combine like terms: 61 + -61 = 0 0 + -6a = 19 + -61 -6a = 19 + -61 Combine like terms: 19 + -61 = -42 -6a = -42 Divide each side by '-6'. a = 7 Simplifying a = 7
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