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Simplifying 3(5 + -4b) + -2 = 61 (5 * 3 + -4b * 3) + -2 = 61 (15 + -12b) + -2 = 61 Reorder the terms: 15 + -2 + -12b = 61 Combine like terms: 15 + -2 = 13 13 + -12b = 61 Solving 13 + -12b = 61 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -12b = 61 + -13 Combine like terms: 13 + -13 = 0 0 + -12b = 61 + -13 -12b = 61 + -13 Combine like terms: 61 + -13 = 48 -12b = 48 Divide each side by '-12'. b = -4 Simplifying b = -4
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