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Simplifying -2(-8b + 6) + -3 = 33 + -8b Reorder the terms: -2(6 + -8b) + -3 = 33 + -8b (6 * -2 + -8b * -2) + -3 = 33 + -8b (-12 + 16b) + -3 = 33 + -8b Reorder the terms: -12 + -3 + 16b = 33 + -8b Combine like terms: -12 + -3 = -15 -15 + 16b = 33 + -8b Solving -15 + 16b = 33 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -15 + 16b + 8b = 33 + -8b + 8b Combine like terms: 16b + 8b = 24b -15 + 24b = 33 + -8b + 8b Combine like terms: -8b + 8b = 0 -15 + 24b = 33 + 0 -15 + 24b = 33 Add '15' to each side of the equation. -15 + 15 + 24b = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 24b = 33 + 15 24b = 33 + 15 Combine like terms: 33 + 15 = 48 24b = 48 Divide each side by '24'. b = 2 Simplifying b = 2
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