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Simplifying 3a + -2(b + 2) = 19 Reorder the terms: 3a + -2(2 + b) = 19 3a + (2 * -2 + b * -2) = 19 3a + (-4 + -2b) = 19 Reorder the terms: -4 + 3a + -2b = 19 Solving -4 + 3a + -2b = 19 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3a + 4 + -2b = 19 + 4 Reorder the terms: -4 + 4 + 3a + -2b = 19 + 4 Combine like terms: -4 + 4 = 0 0 + 3a + -2b = 19 + 4 3a + -2b = 19 + 4 Combine like terms: 19 + 4 = 23 3a + -2b = 23 Add '2b' to each side of the equation. 3a + -2b + 2b = 23 + 2b Combine like terms: -2b + 2b = 0 3a + 0 = 23 + 2b 3a = 23 + 2b Divide each side by '3'. a = 7.666666667 + 0.6666666667b Simplifying a = 7.666666667 + 0.6666666667b
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