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Simplifying 1 + 4a + 7a + -7 = 5a + 5a Reorder the terms: 1 + -7 + 4a + 7a = 5a + 5a Combine like terms: 1 + -7 = -6 -6 + 4a + 7a = 5a + 5a Combine like terms: 4a + 7a = 11a -6 + 11a = 5a + 5a Combine like terms: 5a + 5a = 10a -6 + 11a = 10a Solving -6 + 11a = 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. -6 + 11a + -10a = 10a + -10a Combine like terms: 11a + -10a = 1a -6 + 1a = 10a + -10a Combine like terms: 10a + -10a = 0 -6 + 1a = 0 Add '6' to each side of the equation. -6 + 6 + 1a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1a = 0 + 6 1a = 0 + 6 Combine like terms: 0 + 6 = 6 1a = 6 Divide each side by '1'. a = 6 Simplifying a = 6
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