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Simplifying -122 = 3(6b + -4) + -2 Reorder the terms: -122 = 3(-4 + 6b) + -2 -122 = (-4 * 3 + 6b * 3) + -2 -122 = (-12 + 18b) + -2 Reorder the terms: -122 = -12 + -2 + 18b Combine like terms: -12 + -2 = -14 -122 = -14 + 18b Solving -122 = -14 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. -122 + -18b = -14 + 18b + -18b Combine like terms: 18b + -18b = 0 -122 + -18b = -14 + 0 -122 + -18b = -14 Add '122' to each side of the equation. -122 + 122 + -18b = -14 + 122 Combine like terms: -122 + 122 = 0 0 + -18b = -14 + 122 -18b = -14 + 122 Combine like terms: -14 + 122 = 108 -18b = 108 Divide each side by '-18'. b = -6 Simplifying b = -6
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