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Simplifying 4(1 + 7a) = -18 + 6a (1 * 4 + 7a * 4) = -18 + 6a (4 + 28a) = -18 + 6a Solving 4 + 28a = -18 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 4 + 28a + -6a = -18 + 6a + -6a Combine like terms: 28a + -6a = 22a 4 + 22a = -18 + 6a + -6a Combine like terms: 6a + -6a = 0 4 + 22a = -18 + 0 4 + 22a = -18 Add '-4' to each side of the equation. 4 + -4 + 22a = -18 + -4 Combine like terms: 4 + -4 = 0 0 + 22a = -18 + -4 22a = -18 + -4 Combine like terms: -18 + -4 = -22 22a = -22 Divide each side by '22'. a = -1 Simplifying a = -1
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