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Simplifying 3a + -1(4a + 2) = a + -5 Reorder the terms: 3a + -1(2 + 4a) = a + -5 3a + (2 * -1 + 4a * -1) = a + -5 3a + (-2 + -4a) = a + -5 Reorder the terms: -2 + 3a + -4a = a + -5 Combine like terms: 3a + -4a = -1a -2 + -1a = a + -5 Reorder the terms: -2 + -1a = -5 + a Solving -2 + -1a = -5 + 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. -2 + -1a + -1a = -5 + a + -1a Combine like terms: -1a + -1a = -2a -2 + -2a = -5 + a + -1a Combine like terms: a + -1a = 0 -2 + -2a = -5 + 0 -2 + -2a = -5 Add '2' to each side of the equation. -2 + 2 + -2a = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -2a = -5 + 2 -2a = -5 + 2 Combine like terms: -5 + 2 = -3 -2a = -3 Divide each side by '-2'. a = 1.5 Simplifying a = 1.5
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