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Simplifying 33 + 8b = 1 + -8(b + -6) Reorder the terms: 33 + 8b = 1 + -8(-6 + b) 33 + 8b = 1 + (-6 * -8 + b * -8) 33 + 8b = 1 + (48 + -8b) Combine like terms: 1 + 48 = 49 33 + 8b = 49 + -8b Solving 33 + 8b = 49 + -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. 33 + 8b + 8b = 49 + -8b + 8b Combine like terms: 8b + 8b = 16b 33 + 16b = 49 + -8b + 8b Combine like terms: -8b + 8b = 0 33 + 16b = 49 + 0 33 + 16b = 49 Add '-33' to each side of the equation. 33 + -33 + 16b = 49 + -33 Combine like terms: 33 + -33 = 0 0 + 16b = 49 + -33 16b = 49 + -33 Combine like terms: 49 + -33 = 16 16b = 16 Divide each side by '16'. b = 1 Simplifying b = 1
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