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Simplifying -56 + 24 = -8(b + -6) + 66 Combine like terms: -56 + 24 = -32 -32 = -8(b + -6) + 66 Reorder the terms: -32 = -8(-6 + b) + 66 -32 = (-6 * -8 + b * -8) + 66 -32 = (48 + -8b) + 66 Reorder the terms: -32 = 48 + 66 + -8b Combine like terms: 48 + 66 = 114 -32 = 114 + -8b Solving -32 = 114 + -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. -32 + 8b = 114 + -8b + 8b Combine like terms: -8b + 8b = 0 -32 + 8b = 114 + 0 -32 + 8b = 114 Add '32' to each side of the equation. -32 + 32 + 8b = 114 + 32 Combine like terms: -32 + 32 = 0 0 + 8b = 114 + 32 8b = 114 + 32 Combine like terms: 114 + 32 = 146 8b = 146 Divide each side by '8'. b = 18.25 Simplifying b = 18.25
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