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Simplifying -4(3b + 1) = 16b + 6(b + 10) Reorder the terms: -4(1 + 3b) = 16b + 6(b + 10) (1 * -4 + 3b * -4) = 16b + 6(b + 10) (-4 + -12b) = 16b + 6(b + 10) Reorder the terms: -4 + -12b = 16b + 6(10 + b) -4 + -12b = 16b + (10 * 6 + b * 6) -4 + -12b = 16b + (60 + 6b) Reorder the terms: -4 + -12b = 60 + 16b + 6b Combine like terms: 16b + 6b = 22b -4 + -12b = 60 + 22b Solving -4 + -12b = 60 + 22b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-22b' to each side of the equation. -4 + -12b + -22b = 60 + 22b + -22b Combine like terms: -12b + -22b = -34b -4 + -34b = 60 + 22b + -22b Combine like terms: 22b + -22b = 0 -4 + -34b = 60 + 0 -4 + -34b = 60 Add '4' to each side of the equation. -4 + 4 + -34b = 60 + 4 Combine like terms: -4 + 4 = 0 0 + -34b = 60 + 4 -34b = 60 + 4 Combine like terms: 60 + 4 = 64 -34b = 64 Divide each side by '-34'. b = -1.882352941 Simplifying b = -1.882352941
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