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Simplifying -7 = -1(1 + -3a) + -5a -7 = (1 * -1 + -3a * -1) + -5a -7 = (-1 + 3a) + -5a Combine like terms: 3a + -5a = -2a -7 = -1 + -2a Solving -7 = -1 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -7 + 2a = -1 + -2a + 2a Combine like terms: -2a + 2a = 0 -7 + 2a = -1 + 0 -7 + 2a = -1 Add '7' to each side of the equation. -7 + 7 + 2a = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 2a = -1 + 7 2a = -1 + 7 Combine like terms: -1 + 7 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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