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Simplifying 5 + -3(a + 2) = (2b + 7) + -1(b + -12) Reorder the terms: 5 + -3(2 + a) = (2b + 7) + -1(b + -12) 5 + (2 * -3 + a * -3) = (2b + 7) + -1(b + -12) 5 + (-6 + -3a) = (2b + 7) + -1(b + -12) Combine like terms: 5 + -6 = -1 -1 + -3a = (2b + 7) + -1(b + -12) Reorder the terms: -1 + -3a = (7 + 2b) + -1(b + -12) Remove parenthesis around (7 + 2b) -1 + -3a = 7 + 2b + -1(b + -12) Reorder the terms: -1 + -3a = 7 + 2b + -1(-12 + b) -1 + -3a = 7 + 2b + (-12 * -1 + b * -1) -1 + -3a = 7 + 2b + (12 + -1b) Reorder the terms: -1 + -3a = 7 + 12 + 2b + -1b Combine like terms: 7 + 12 = 19 -1 + -3a = 19 + 2b + -1b Combine like terms: 2b + -1b = 1b -1 + -3a = 19 + 1b Solving -1 + -3a = 19 + 1b 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 = 19 + 1 + 1b Combine like terms: -1 + 1 = 0 0 + -3a = 19 + 1 + 1b -3a = 19 + 1 + 1b Combine like terms: 19 + 1 = 20 -3a = 20 + 1b Divide each side by '-3'. a = -6.666666667 + -0.3333333333b Simplifying a = -6.666666667 + -0.3333333333b
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