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Simplifying a + 10 = a(1 + -5) Reorder the terms: 10 + a = a(1 + -5) Combine like terms: 1 + -5 = -4 10 + a = a(-4) Reorder the terms for easier multiplication: 10 + a = -4a Solving 10 + a = -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 10 + a + 4a = -4a + 4a Combine like terms: a + 4a = 5a 10 + 5a = -4a + 4a Combine like terms: -4a + 4a = 0 10 + 5a = 0 Add '-10' to each side of the equation. 10 + -10 + 5a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5a = 0 + -10 5a = 0 + -10 Combine like terms: 0 + -10 = -10 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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