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Simplifying 3(4b + -4) + -6 = -114 Reorder the terms: 3(-4 + 4b) + -6 = -114 (-4 * 3 + 4b * 3) + -6 = -114 (-12 + 12b) + -6 = -114 Reorder the terms: -12 + -6 + 12b = -114 Combine like terms: -12 + -6 = -18 -18 + 12b = -114 Solving -18 + 12b = -114 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 + 18 + 12b = -114 + 18 Combine like terms: -18 + 18 = 0 0 + 12b = -114 + 18 12b = -114 + 18 Combine like terms: -114 + 18 = -96 12b = -96 Divide each side by '12'. b = -8 Simplifying b = -8
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