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Simplifying 4a + 10 = 7a + 7 Reorder the terms: 10 + 4a = 7a + 7 Reorder the terms: 10 + 4a = 7 + 7a Solving 10 + 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. 10 + 4a + -7a = 7 + 7a + -7a Combine like terms: 4a + -7a = -3a 10 + -3a = 7 + 7a + -7a Combine like terms: 7a + -7a = 0 10 + -3a = 7 + 0 10 + -3a = 7 Add '-10' to each side of the equation. 10 + -10 + -3a = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = 7 + -10 -3a = 7 + -10 Combine like terms: 7 + -10 = -3 -3a = -3 Divide each side by '-3'. a = 1 Simplifying a = 1
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