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Simplifying 4a + -12 = 6a + -42 Reorder the terms: -12 + 4a = 6a + -42 Reorder the terms: -12 + 4a = -42 + 6a Solving -12 + 4a = -42 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -12 + 4a + -6a = -42 + 6a + -6a Combine like terms: 4a + -6a = -2a -12 + -2a = -42 + 6a + -6a Combine like terms: 6a + -6a = 0 -12 + -2a = -42 + 0 -12 + -2a = -42 Add '12' to each side of the equation. -12 + 12 + -2a = -42 + 12 Combine like terms: -12 + 12 = 0 0 + -2a = -42 + 12 -2a = -42 + 12 Combine like terms: -42 + 12 = -30 -2a = -30 Divide each side by '-2'. a = 15 Simplifying a = 15
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