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Simplifying 4(3b + -5) + 2 = 114 Reorder the terms: 4(-5 + 3b) + 2 = 114 (-5 * 4 + 3b * 4) + 2 = 114 (-20 + 12b) + 2 = 114 Reorder the terms: -20 + 2 + 12b = 114 Combine like terms: -20 + 2 = -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 = 132 12b = 132 Divide each side by '12'. b = 11 Simplifying b = 11
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