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Simplifying 3(a + 2) + -7 = 13 + -1(5b) Reorder the terms: 3(2 + a) + -7 = 13 + -1(5b) (2 * 3 + a * 3) + -7 = 13 + -1(5b) (6 + 3a) + -7 = 13 + -1(5b) Reorder the terms: 6 + -7 + 3a = 13 + -1(5b) Combine like terms: 6 + -7 = -1 -1 + 3a = 13 + -1(5b) Remove parenthesis around (5b) -1 + 3a = 13 + -1 * 5b Multiply -1 * 5 -1 + 3a = 13 + -5b Solving -1 + 3a = 13 + -5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3a = 13 + 1 + -5b Combine like terms: -1 + 1 = 0 0 + 3a = 13 + 1 + -5b 3a = 13 + 1 + -5b Combine like terms: 13 + 1 = 14 3a = 14 + -5b Divide each side by '3'. a = 4.666666667 + -1.666666667b Simplifying a = 4.666666667 + -1.666666667b
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