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Simplifying -2[4 + -1(3b + 2)] = 5 + -2(3a + 6) Reorder the terms: -2[4 + -1(2 + 3b)] = 5 + -2(3a + 6) -2[4 + (2 * -1 + 3b * -1)] = 5 + -2(3a + 6) -2[4 + (-2 + -3b)] = 5 + -2(3a + 6) Combine like terms: 4 + -2 = 2 -2[2 + -3b] = 5 + -2(3a + 6) [2 * -2 + -3b * -2] = 5 + -2(3a + 6) [-4 + 6b] = 5 + -2(3a + 6) Reorder the terms: -4 + 6b = 5 + -2(6 + 3a) -4 + 6b = 5 + (6 * -2 + 3a * -2) -4 + 6b = 5 + (-12 + -6a) Combine like terms: 5 + -12 = -7 -4 + 6b = -7 + -6a Solving -4 + 6b = -7 + -6a Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6b = -7 + 4 + -6a Combine like terms: -4 + 4 = 0 0 + 6b = -7 + 4 + -6a 6b = -7 + 4 + -6a Combine like terms: -7 + 4 = -3 6b = -3 + -6a Divide each side by '6'. b = -0.5 + -1a Simplifying b = -0.5 + -1a
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