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Simplifying 5(1 + 4a) = -37 + 6a (1 * 5 + 4a * 5) = -37 + 6a (5 + 20a) = -37 + 6a Solving 5 + 20a = -37 + 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. 5 + 20a + -6a = -37 + 6a + -6a Combine like terms: 20a + -6a = 14a 5 + 14a = -37 + 6a + -6a Combine like terms: 6a + -6a = 0 5 + 14a = -37 + 0 5 + 14a = -37 Add '-5' to each side of the equation. 5 + -5 + 14a = -37 + -5 Combine like terms: 5 + -5 = 0 0 + 14a = -37 + -5 14a = -37 + -5 Combine like terms: -37 + -5 = -42 14a = -42 Divide each side by '14'. a = -3 Simplifying a = -3
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