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Simplifying -33 + 7b = 8(8b + 2) + 8 Reorder the terms: -33 + 7b = 8(2 + 8b) + 8 -33 + 7b = (2 * 8 + 8b * 8) + 8 -33 + 7b = (16 + 64b) + 8 Reorder the terms: -33 + 7b = 16 + 8 + 64b Combine like terms: 16 + 8 = 24 -33 + 7b = 24 + 64b Solving -33 + 7b = 24 + 64b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-64b' to each side of the equation. -33 + 7b + -64b = 24 + 64b + -64b Combine like terms: 7b + -64b = -57b -33 + -57b = 24 + 64b + -64b Combine like terms: 64b + -64b = 0 -33 + -57b = 24 + 0 -33 + -57b = 24 Add '33' to each side of the equation. -33 + 33 + -57b = 24 + 33 Combine like terms: -33 + 33 = 0 0 + -57b = 24 + 33 -57b = 24 + 33 Combine like terms: 24 + 33 = 57 -57b = 57 Divide each side by '-57'. b = -1 Simplifying b = -1
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