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Simplifying 12b + 16 = 8(-5b + -11) Reorder the terms: 16 + 12b = 8(-5b + -11) Reorder the terms: 16 + 12b = 8(-11 + -5b) 16 + 12b = (-11 * 8 + -5b * 8) 16 + 12b = (-88 + -40b) Solving 16 + 12b = -88 + -40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40b' to each side of the equation. 16 + 12b + 40b = -88 + -40b + 40b Combine like terms: 12b + 40b = 52b 16 + 52b = -88 + -40b + 40b Combine like terms: -40b + 40b = 0 16 + 52b = -88 + 0 16 + 52b = -88 Add '-16' to each side of the equation. 16 + -16 + 52b = -88 + -16 Combine like terms: 16 + -16 = 0 0 + 52b = -88 + -16 52b = -88 + -16 Combine like terms: -88 + -16 = -104 52b = -104 Divide each side by '52'. b = -2 Simplifying b = -2
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