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Simplifying -5b + -24 = -8(b + -6) + 6b Reorder the terms: -24 + -5b = -8(b + -6) + 6b Reorder the terms: -24 + -5b = -8(-6 + b) + 6b -24 + -5b = (-6 * -8 + b * -8) + 6b -24 + -5b = (48 + -8b) + 6b Combine like terms: -8b + 6b = -2b -24 + -5b = 48 + -2b Solving -24 + -5b = 48 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -24 + -5b + 2b = 48 + -2b + 2b Combine like terms: -5b + 2b = -3b -24 + -3b = 48 + -2b + 2b Combine like terms: -2b + 2b = 0 -24 + -3b = 48 + 0 -24 + -3b = 48 Add '24' to each side of the equation. -24 + 24 + -3b = 48 + 24 Combine like terms: -24 + 24 = 0 0 + -3b = 48 + 24 -3b = 48 + 24 Combine like terms: 48 + 24 = 72 -3b = 72 Divide each side by '-3'. b = -24 Simplifying b = -24
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