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Simplifying -6(1 + 5a) = -40 + 4a (1 * -6 + 5a * -6) = -40 + 4a (-6 + -30a) = -40 + 4a Solving -6 + -30a = -40 + 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. -6 + -30a + -4a = -40 + 4a + -4a Combine like terms: -30a + -4a = -34a -6 + -34a = -40 + 4a + -4a Combine like terms: 4a + -4a = 0 -6 + -34a = -40 + 0 -6 + -34a = -40 Add '6' to each side of the equation. -6 + 6 + -34a = -40 + 6 Combine like terms: -6 + 6 = 0 0 + -34a = -40 + 6 -34a = -40 + 6 Combine like terms: -40 + 6 = -34 -34a = -34 Divide each side by '-34'. a = 1 Simplifying a = 1
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