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Simplifying a + -5 = 3a + -5 + 1 Reorder the terms: -5 + a = 3a + -5 + 1 Reorder the terms: -5 + a = -5 + 1 + 3a Combine like terms: -5 + 1 = -4 -5 + a = -4 + 3a Solving -5 + a = -4 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -5 + a + -3a = -4 + 3a + -3a Combine like terms: a + -3a = -2a -5 + -2a = -4 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + -2a = -4 + 0 -5 + -2a = -4 Add '5' to each side of the equation. -5 + 5 + -2a = -4 + 5 Combine like terms: -5 + 5 = 0 0 + -2a = -4 + 5 -2a = -4 + 5 Combine like terms: -4 + 5 = 1 -2a = 1 Divide each side by '-2'. a = -0.5 Simplifying a = -0.5
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