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Simplifying 7a + -4 = 3(a + 9) + 41 Reorder the terms: -4 + 7a = 3(a + 9) + 41 Reorder the terms: -4 + 7a = 3(9 + a) + 41 -4 + 7a = (9 * 3 + a * 3) + 41 -4 + 7a = (27 + 3a) + 41 Reorder the terms: -4 + 7a = 27 + 41 + 3a Combine like terms: 27 + 41 = 68 -4 + 7a = 68 + 3a Solving -4 + 7a = 68 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -4 + 7a + -3a = 68 + 3a + -3a Combine like terms: 7a + -3a = 4a -4 + 4a = 68 + 3a + -3a Combine like terms: 3a + -3a = 0 -4 + 4a = 68 + 0 -4 + 4a = 68 Add '4' to each side of the equation. -4 + 4 + 4a = 68 + 4 Combine like terms: -4 + 4 = 0 0 + 4a = 68 + 4 4a = 68 + 4 Combine like terms: 68 + 4 = 72 4a = 72 Divide each side by '4'. a = 18 Simplifying a = 18
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