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Simplifying a + -1(b + 4) = 2a + 3b + -6 Reorder the terms: a + -1(4 + b) = 2a + 3b + -6 a + (4 * -1 + b * -1) = 2a + 3b + -6 a + (-4 + -1b) = 2a + 3b + -6 Reorder the terms: -4 + a + -1b = 2a + 3b + -6 Reorder the terms: -4 + a + -1b = -6 + 2a + 3b Solving -4 + a + -1b = -6 + 2a + 3b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -4 + a + -2a + -1b = -6 + 2a + -2a + 3b Combine like terms: a + -2a = -1a -4 + -1a + -1b = -6 + 2a + -2a + 3b Combine like terms: 2a + -2a = 0 -4 + -1a + -1b = -6 + 0 + 3b -4 + -1a + -1b = -6 + 3b Add '4' to each side of the equation. -4 + -1a + 4 + -1b = -6 + 4 + 3b Reorder the terms: -4 + 4 + -1a + -1b = -6 + 4 + 3b Combine like terms: -4 + 4 = 0 0 + -1a + -1b = -6 + 4 + 3b -1a + -1b = -6 + 4 + 3b Combine like terms: -6 + 4 = -2 -1a + -1b = -2 + 3b Add 'b' to each side of the equation. -1a + -1b + b = -2 + 3b + b Combine like terms: -1b + b = 0 -1a + 0 = -2 + 3b + b -1a = -2 + 3b + b Combine like terms: 3b + b = 4b -1a = -2 + 4b Divide each side by '-1'. a = 2 + -4b Simplifying a = 2 + -4b
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