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Simplifying 4a + 19 = 7a + 7 Reorder the terms: 19 + 4a = 7a + 7 Reorder the terms: 19 + 4a = 7 + 7a Solving 19 + 4a = 7 + 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. 19 + 4a + -7a = 7 + 7a + -7a Combine like terms: 4a + -7a = -3a 19 + -3a = 7 + 7a + -7a Combine like terms: 7a + -7a = 0 19 + -3a = 7 + 0 19 + -3a = 7 Add '-19' to each side of the equation. 19 + -19 + -3a = 7 + -19 Combine like terms: 19 + -19 = 0 0 + -3a = 7 + -19 -3a = 7 + -19 Combine like terms: 7 + -19 = -12 -3a = -12 Divide each side by '-3'. a = 4 Simplifying a = 4
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