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Simplifying a + 10 = 3a + -4 Reorder the terms: 10 + a = 3a + -4 Reorder the terms: 10 + a = -4 + 3a Solving 10 + a = -4 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 10 + a + -3a = -4 + 3a + -3a Combine like terms: a + -3a = -2a 10 + -2a = -4 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + -2a = -4 + 0 10 + -2a = -4 Add '-10' to each side of the equation. 10 + -10 + -2a = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -2a = -4 + -10 -2a = -4 + -10 Combine like terms: -4 + -10 = -14 -2a = -14 Divide each side by '-2'. a = 7 Simplifying a = 7
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