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Simplifying 2a + -5(a + 1) = 3a + 1 Reorder the terms: 2a + -5(1 + a) = 3a + 1 2a + (1 * -5 + a * -5) = 3a + 1 2a + (-5 + -5a) = 3a + 1 Reorder the terms: -5 + 2a + -5a = 3a + 1 Combine like terms: 2a + -5a = -3a -5 + -3a = 3a + 1 Reorder the terms: -5 + -3a = 1 + 3a Solving -5 + -3a = 1 + 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 + -3a + -3a = 1 + 3a + -3a Combine like terms: -3a + -3a = -6a -5 + -6a = 1 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + -6a = 1 + 0 -5 + -6a = 1 Add '5' to each side of the equation. -5 + 5 + -6a = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -6a = 1 + 5 -6a = 1 + 5 Combine like terms: 1 + 5 = 6 -6a = 6 Divide each side by '-6'. a = -1 Simplifying a = -1
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