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Simplifying 2a + -5 + 4a + -6b = 3a + b + -7 Reorder the terms: -5 + 2a + 4a + -6b = 3a + b + -7 Combine like terms: 2a + 4a = 6a -5 + 6a + -6b = 3a + b + -7 Reorder the terms: -5 + 6a + -6b = -7 + 3a + b Solving -5 + 6a + -6b = -7 + 3a + b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -5 + 6a + -3a + -6b = -7 + 3a + -3a + b Combine like terms: 6a + -3a = 3a -5 + 3a + -6b = -7 + 3a + -3a + b Combine like terms: 3a + -3a = 0 -5 + 3a + -6b = -7 + 0 + b -5 + 3a + -6b = -7 + b Add '5' to each side of the equation. -5 + 3a + 5 + -6b = -7 + 5 + b Reorder the terms: -5 + 5 + 3a + -6b = -7 + 5 + b Combine like terms: -5 + 5 = 0 0 + 3a + -6b = -7 + 5 + b 3a + -6b = -7 + 5 + b Combine like terms: -7 + 5 = -2 3a + -6b = -2 + b Add '6b' to each side of the equation. 3a + -6b + 6b = -2 + b + 6b Combine like terms: -6b + 6b = 0 3a + 0 = -2 + b + 6b 3a = -2 + b + 6b Combine like terms: b + 6b = 7b 3a = -2 + 7b Divide each side by '3'. a = -0.6666666667 + 2.333333333b Simplifying a = -0.6666666667 + 2.333333333b
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