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Simplifying 1 + -1a + -5 = -3 + a + 3 + 8 Reorder the terms: 1 + -5 + -1a = -3 + a + 3 + 8 Combine like terms: 1 + -5 = -4 -4 + -1a = -3 + a + 3 + 8 Reorder the terms: -4 + -1a = -3 + 3 + 8 + a Combine like terms: -3 + 3 = 0 -4 + -1a = 0 + 8 + a -4 + -1a = 8 + a Solving -4 + -1a = 8 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -4 + -1a + -1a = 8 + a + -1a Combine like terms: -1a + -1a = -2a -4 + -2a = 8 + a + -1a Combine like terms: a + -1a = 0 -4 + -2a = 8 + 0 -4 + -2a = 8 Add '4' to each side of the equation. -4 + 4 + -2a = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -2a = 8 + 4 -2a = 8 + 4 Combine like terms: 8 + 4 = 12 -2a = 12 Divide each side by '-2'. a = -6 Simplifying a = -6
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