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Simplifying 4a + -2 = 12a + -42 Reorder the terms: -2 + 4a = 12a + -42 Reorder the terms: -2 + 4a = -42 + 12a Solving -2 + 4a = -42 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -2 + 4a + -12a = -42 + 12a + -12a Combine like terms: 4a + -12a = -8a -2 + -8a = -42 + 12a + -12a Combine like terms: 12a + -12a = 0 -2 + -8a = -42 + 0 -2 + -8a = -42 Add '2' to each side of the equation. -2 + 2 + -8a = -42 + 2 Combine like terms: -2 + 2 = 0 0 + -8a = -42 + 2 -8a = -42 + 2 Combine like terms: -42 + 2 = -40 -8a = -40 Divide each side by '-8'. a = 5 Simplifying a = 5
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