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Simplifying -10 = (a + -1) + (a + -3) Reorder the terms: -10 = (-1 + a) + (a + -3) Remove parenthesis around (-1 + a) -10 = -1 + a + (a + -3) Reorder the terms: -10 = -1 + a + (-3 + a) Remove parenthesis around (-3 + a) -10 = -1 + a + -3 + a Reorder the terms: -10 = -1 + -3 + a + a Combine like terms: -1 + -3 = -4 -10 = -4 + a + a Combine like terms: a + a = 2a -10 = -4 + 2a Solving -10 = -4 + 2a 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. -10 + -2a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 -10 + -2a = -4 + 0 -10 + -2a = -4 Add '10' to each side of the equation. -10 + 10 + -2a = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -2a = -4 + 10 -2a = -4 + 10 Combine like terms: -4 + 10 = 6 -2a = 6 Divide each side by '-2'. a = -3 Simplifying a = -3
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