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Simplifying -7(1 + 6a) = -4a + 31 (1 * -7 + 6a * -7) = -4a + 31 (-7 + -42a) = -4a + 31 Reorder the terms: -7 + -42a = 31 + -4a Solving -7 + -42a = 31 + -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. -7 + -42a + 4a = 31 + -4a + 4a Combine like terms: -42a + 4a = -38a -7 + -38a = 31 + -4a + 4a Combine like terms: -4a + 4a = 0 -7 + -38a = 31 + 0 -7 + -38a = 31 Add '7' to each side of the equation. -7 + 7 + -38a = 31 + 7 Combine like terms: -7 + 7 = 0 0 + -38a = 31 + 7 -38a = 31 + 7 Combine like terms: 31 + 7 = 38 -38a = 38 Divide each side by '-38'. a = -1 Simplifying a = -1
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