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Simplifying 8(-2b + 2) + 5 = -27 + -4b Reorder the terms: 8(2 + -2b) + 5 = -27 + -4b (2 * 8 + -2b * 8) + 5 = -27 + -4b (16 + -16b) + 5 = -27 + -4b Reorder the terms: 16 + 5 + -16b = -27 + -4b Combine like terms: 16 + 5 = 21 21 + -16b = -27 + -4b Solving 21 + -16b = -27 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 21 + -16b + 4b = -27 + -4b + 4b Combine like terms: -16b + 4b = -12b 21 + -12b = -27 + -4b + 4b Combine like terms: -4b + 4b = 0 21 + -12b = -27 + 0 21 + -12b = -27 Add '-21' to each side of the equation. 21 + -21 + -12b = -27 + -21 Combine like terms: 21 + -21 = 0 0 + -12b = -27 + -21 -12b = -27 + -21 Combine like terms: -27 + -21 = -48 -12b = -48 Divide each side by '-12'. b = 4 Simplifying b = 4
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