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Simplifying 2b + -2(8 + 6b) = 4(-4b + -1) + 4b 2b + (8 * -2 + 6b * -2) = 4(-4b + -1) + 4b 2b + (-16 + -12b) = 4(-4b + -1) + 4b Reorder the terms: -16 + 2b + -12b = 4(-4b + -1) + 4b Combine like terms: 2b + -12b = -10b -16 + -10b = 4(-4b + -1) + 4b Reorder the terms: -16 + -10b = 4(-1 + -4b) + 4b -16 + -10b = (-1 * 4 + -4b * 4) + 4b -16 + -10b = (-4 + -16b) + 4b Combine like terms: -16b + 4b = -12b -16 + -10b = -4 + -12b Solving -16 + -10b = -4 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -16 + -10b + 12b = -4 + -12b + 12b Combine like terms: -10b + 12b = 2b -16 + 2b = -4 + -12b + 12b Combine like terms: -12b + 12b = 0 -16 + 2b = -4 + 0 -16 + 2b = -4 Add '16' to each side of the equation. -16 + 16 + 2b = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 2b = -4 + 16 2b = -4 + 16 Combine like terms: -4 + 16 = 12 2b = 12 Divide each side by '2'. b = 6 Simplifying b = 6
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