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Simplifying 4a + -12 = 5a + 51 Reorder the terms: -12 + 4a = 5a + 51 Reorder the terms: -12 + 4a = 51 + 5a Solving -12 + 4a = 51 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -12 + 4a + -5a = 51 + 5a + -5a Combine like terms: 4a + -5a = -1a -12 + -1a = 51 + 5a + -5a Combine like terms: 5a + -5a = 0 -12 + -1a = 51 + 0 -12 + -1a = 51 Add '12' to each side of the equation. -12 + 12 + -1a = 51 + 12 Combine like terms: -12 + 12 = 0 0 + -1a = 51 + 12 -1a = 51 + 12 Combine like terms: 51 + 12 = 63 -1a = 63 Divide each side by '-1'. a = -63 Simplifying a = -63
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