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Simplifying 4 + 3(a + 1) = 4a + 6 Reorder the terms: 4 + 3(1 + a) = 4a + 6 4 + (1 * 3 + a * 3) = 4a + 6 4 + (3 + 3a) = 4a + 6 Combine like terms: 4 + 3 = 7 7 + 3a = 4a + 6 Reorder the terms: 7 + 3a = 6 + 4a Solving 7 + 3a = 6 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 7 + 3a + -4a = 6 + 4a + -4a Combine like terms: 3a + -4a = -1a 7 + -1a = 6 + 4a + -4a Combine like terms: 4a + -4a = 0 7 + -1a = 6 + 0 7 + -1a = 6 Add '-7' to each side of the equation. 7 + -7 + -1a = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 6 + -7 -1a = 6 + -7 Combine like terms: 6 + -7 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1
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