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Simplifying -1a + 7 = 7(1 + -6a) Reorder the terms: 7 + -1a = 7(1 + -6a) 7 + -1a = (1 * 7 + -6a * 7) 7 + -1a = (7 + -42a) Add '-7' to each side of the equation. 7 + -7 + -1a = 7 + -7 + -42a Combine like terms: 7 + -7 = 0 0 + -1a = 7 + -7 + -42a -1a = 7 + -7 + -42a Combine like terms: 7 + -7 = 0 -1a = 0 + -42a -1a = -42a Solving -1a = -42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42a' to each side of the equation. -1a + 42a = -42a + 42a Combine like terms: -1a + 42a = 41a 41a = -42a + 42a Combine like terms: -42a + 42a = 0 41a = 0 Divide each side by '41'. a = 0 Simplifying a = 0
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