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Simplifying -4a + 6 + -18a = 3a + 66 + 40 Reorder the terms: 6 + -4a + -18a = 3a + 66 + 40 Combine like terms: -4a + -18a = -22a 6 + -22a = 3a + 66 + 40 Reorder the terms: 6 + -22a = 66 + 40 + 3a Combine like terms: 66 + 40 = 106 6 + -22a = 106 + 3a Solving 6 + -22a = 106 + 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. 6 + -22a + -3a = 106 + 3a + -3a Combine like terms: -22a + -3a = -25a 6 + -25a = 106 + 3a + -3a Combine like terms: 3a + -3a = 0 6 + -25a = 106 + 0 6 + -25a = 106 Add '-6' to each side of the equation. 6 + -6 + -25a = 106 + -6 Combine like terms: 6 + -6 = 0 0 + -25a = 106 + -6 -25a = 106 + -6 Combine like terms: 106 + -6 = 100 -25a = 100 Divide each side by '-25'. a = -4 Simplifying a = -4
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