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Simplifying a + -51 = 4a + -6 Reorder the terms: -51 + a = 4a + -6 Reorder the terms: -51 + a = -6 + 4a Solving -51 + a = -6 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -51 + a + -4a = -6 + 4a + -4a Combine like terms: a + -4a = -3a -51 + -3a = -6 + 4a + -4a Combine like terms: 4a + -4a = 0 -51 + -3a = -6 + 0 -51 + -3a = -6 Add '51' to each side of the equation. -51 + 51 + -3a = -6 + 51 Combine like terms: -51 + 51 = 0 0 + -3a = -6 + 51 -3a = -6 + 51 Combine like terms: -6 + 51 = 45 -3a = 45 Divide each side by '-3'. a = -15 Simplifying a = -15
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