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Simplifying 4x + 6(7b + -3) = -156 Reorder the terms: 4x + 6(-3 + 7b) = -156 4x + (-3 * 6 + 7b * 6) = -156 4x + (-18 + 42b) = -156 Reorder the terms: -18 + 42b + 4x = -156 Solving -18 + 42b + 4x = -156 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 42b + 18 + 4x = -156 + 18 Reorder the terms: -18 + 18 + 42b + 4x = -156 + 18 Combine like terms: -18 + 18 = 0 0 + 42b + 4x = -156 + 18 42b + 4x = -156 + 18 Combine like terms: -156 + 18 = -138 42b + 4x = -138 Add '-4x' to each side of the equation. 42b + 4x + -4x = -138 + -4x Combine like terms: 4x + -4x = 0 42b + 0 = -138 + -4x 42b = -138 + -4x Divide each side by '42'. b = -3.285714286 + -0.09523809524x Simplifying b = -3.285714286 + -0.09523809524x
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