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Simplifying a + -4a = 2a + 1 + -5d Combine like terms: a + -4a = -3a -3a = 2a + 1 + -5d Reorder the terms: -3a = 1 + 2a + -5d Solving -3a = 1 + 2a + -5d 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. -3a + -2a = 1 + 2a + -2a + -5d Combine like terms: -3a + -2a = -5a -5a = 1 + 2a + -2a + -5d Combine like terms: 2a + -2a = 0 -5a = 1 + 0 + -5d -5a = 1 + -5d Divide each side by '-5'. a = -0.2 + d Simplifying a = -0.2 + d
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