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Simplifying 3a + -1 = 2(a + -4) Reorder the terms: -1 + 3a = 2(a + -4) Reorder the terms: -1 + 3a = 2(-4 + a) -1 + 3a = (-4 * 2 + a * 2) -1 + 3a = (-8 + 2a) Solving -1 + 3a = -8 + 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. -1 + 3a + -2a = -8 + 2a + -2a Combine like terms: 3a + -2a = 1a -1 + 1a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -1 + 1a = -8 + 0 -1 + 1a = -8 Add '1' to each side of the equation. -1 + 1 + 1a = -8 + 1 Combine like terms: -1 + 1 = 0 0 + 1a = -8 + 1 1a = -8 + 1 Combine like terms: -8 + 1 = -7 1a = -7 Divide each side by '1'. a = -7 Simplifying a = -7
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