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Simplifying -3 + -1a = 4 + -1(1 + 7a) -3 + -1a = 4 + (1 * -1 + 7a * -1) -3 + -1a = 4 + (-1 + -7a) Combine like terms: 4 + -1 = 3 -3 + -1a = 3 + -7a Solving -3 + -1a = 3 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -3 + -1a + 7a = 3 + -7a + 7a Combine like terms: -1a + 7a = 6a -3 + 6a = 3 + -7a + 7a Combine like terms: -7a + 7a = 0 -3 + 6a = 3 + 0 -3 + 6a = 3 Add '3' to each side of the equation. -3 + 3 + 6a = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 6a = 3 + 3 6a = 3 + 3 Combine like terms: 3 + 3 = 6 6a = 6 Divide each side by '6'. a = 1 Simplifying a = 1
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