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Simplifying 2a + -4 = 3a + 3 + 7a + 2 Reorder the terms: -4 + 2a = 3a + 3 + 7a + 2 Reorder the terms: -4 + 2a = 3 + 2 + 3a + 7a Combine like terms: 3 + 2 = 5 -4 + 2a = 5 + 3a + 7a Combine like terms: 3a + 7a = 10a -4 + 2a = 5 + 10a Solving -4 + 2a = 5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -4 + 2a + -10a = 5 + 10a + -10a Combine like terms: 2a + -10a = -8a -4 + -8a = 5 + 10a + -10a Combine like terms: 10a + -10a = 0 -4 + -8a = 5 + 0 -4 + -8a = 5 Add '4' to each side of the equation. -4 + 4 + -8a = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -8a = 5 + 4 -8a = 5 + 4 Combine like terms: 5 + 4 = 9 -8a = 9 Divide each side by '-8'. a = -1.125 Simplifying a = -1.125
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