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Simplifying 4(1 + -3b) + -3 = -47 (1 * 4 + -3b * 4) + -3 = -47 (4 + -12b) + -3 = -47 Reorder the terms: 4 + -3 + -12b = -47 Combine like terms: 4 + -3 = 1 1 + -12b = -47 Solving 1 + -12b = -47 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -12b = -47 + -1 Combine like terms: 1 + -1 = 0 0 + -12b = -47 + -1 -12b = -47 + -1 Combine like terms: -47 + -1 = -48 -12b = -48 Divide each side by '-12'. b = 4 Simplifying b = 4
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