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Simplifying 3a + -4 = 5(2 + a) + 6 Reorder the terms: -4 + 3a = 5(2 + a) + 6 -4 + 3a = (2 * 5 + a * 5) + 6 -4 + 3a = (10 + 5a) + 6 Reorder the terms: -4 + 3a = 10 + 6 + 5a Combine like terms: 10 + 6 = 16 -4 + 3a = 16 + 5a Solving -4 + 3a = 16 + 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. -4 + 3a + -5a = 16 + 5a + -5a Combine like terms: 3a + -5a = -2a -4 + -2a = 16 + 5a + -5a Combine like terms: 5a + -5a = 0 -4 + -2a = 16 + 0 -4 + -2a = 16 Add '4' to each side of the equation. -4 + 4 + -2a = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -2a = 16 + 4 -2a = 16 + 4 Combine like terms: 16 + 4 = 20 -2a = 20 Divide each side by '-2'. a = -10 Simplifying a = -10
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