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Simplifying a + -1 = 6a + -16 Reorder the terms: -1 + a = 6a + -16 Reorder the terms: -1 + a = -16 + 6a Solving -1 + a = -16 + 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 = -16 + 6a + -6a Combine like terms: a + -6a = -5a -1 + -5a = -16 + 6a + -6a Combine like terms: 6a + -6a = 0 -1 + -5a = -16 + 0 -1 + -5a = -16 Add '1' to each side of the equation. -1 + 1 + -5a = -16 + 1 Combine like terms: -1 + 1 = 0 0 + -5a = -16 + 1 -5a = -16 + 1 Combine like terms: -16 + 1 = -15 -5a = -15 Divide each side by '-5'. a = 3 Simplifying a = 3
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