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Simplifying a + -1 = 6(a + 4) Reorder the terms: -1 + a = 6(a + 4) Reorder the terms: -1 + a = 6(4 + a) -1 + a = (4 * 6 + a * 6) -1 + a = (24 + 6a) Solving -1 + a = 24 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -1 + a + -6a = 24 + 6a + -6a Combine like terms: a + -6a = -5a -1 + -5a = 24 + 6a + -6a Combine like terms: 6a + -6a = 0 -1 + -5a = 24 + 0 -1 + -5a = 24 Add '1' to each side of the equation. -1 + 1 + -5a = 24 + 1 Combine like terms: -1 + 1 = 0 0 + -5a = 24 + 1 -5a = 24 + 1 Combine like terms: 24 + 1 = 25 -5a = 25 Divide each side by '-5'. a = -5 Simplifying a = -5
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