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Simplifying 4a + -2 = 10 + -1(a + 2) Reorder the terms: -2 + 4a = 10 + -1(a + 2) Reorder the terms: -2 + 4a = 10 + -1(2 + a) -2 + 4a = 10 + (2 * -1 + a * -1) -2 + 4a = 10 + (-2 + -1a) Combine like terms: 10 + -2 = 8 -2 + 4a = 8 + -1a Solving -2 + 4a = 8 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -2 + 4a + a = 8 + -1a + a Combine like terms: 4a + a = 5a -2 + 5a = 8 + -1a + a Combine like terms: -1a + a = 0 -2 + 5a = 8 + 0 -2 + 5a = 8 Add '2' to each side of the equation. -2 + 2 + 5a = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 5a = 8 + 2 5a = 8 + 2 Combine like terms: 8 + 2 = 10 5a = 10 Divide each side by '5'. a = 2 Simplifying a = 2
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