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Simplifying 7a + 5 = 4(a + -4) + 18 Reorder the terms: 5 + 7a = 4(a + -4) + 18 Reorder the terms: 5 + 7a = 4(-4 + a) + 18 5 + 7a = (-4 * 4 + a * 4) + 18 5 + 7a = (-16 + 4a) + 18 Reorder the terms: 5 + 7a = -16 + 18 + 4a Combine like terms: -16 + 18 = 2 5 + 7a = 2 + 4a Solving 5 + 7a = 2 + 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. 5 + 7a + -4a = 2 + 4a + -4a Combine like terms: 7a + -4a = 3a 5 + 3a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 5 + 3a = 2 + 0 5 + 3a = 2 Add '-5' to each side of the equation. 5 + -5 + 3a = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 2 + -5 3a = 2 + -5 Combine like terms: 2 + -5 = -3 3a = -3 Divide each side by '3'. a = -1 Simplifying a = -1
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