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Simplifying 3a + 36 = 4(a + 1) + 7a Reorder the terms: 36 + 3a = 4(a + 1) + 7a Reorder the terms: 36 + 3a = 4(1 + a) + 7a 36 + 3a = (1 * 4 + a * 4) + 7a 36 + 3a = (4 + 4a) + 7a Combine like terms: 4a + 7a = 11a 36 + 3a = 4 + 11a Solving 36 + 3a = 4 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 36 + 3a + -11a = 4 + 11a + -11a Combine like terms: 3a + -11a = -8a 36 + -8a = 4 + 11a + -11a Combine like terms: 11a + -11a = 0 36 + -8a = 4 + 0 36 + -8a = 4 Add '-36' to each side of the equation. 36 + -36 + -8a = 4 + -36 Combine like terms: 36 + -36 = 0 0 + -8a = 4 + -36 -8a = 4 + -36 Combine like terms: 4 + -36 = -32 -8a = -32 Divide each side by '-8'. a = 4 Simplifying a = 4
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