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Simplifying -24 + 3b = 6 + 4(-7b + 8) Reorder the terms: -24 + 3b = 6 + 4(8 + -7b) -24 + 3b = 6 + (8 * 4 + -7b * 4) -24 + 3b = 6 + (32 + -28b) Combine like terms: 6 + 32 = 38 -24 + 3b = 38 + -28b Solving -24 + 3b = 38 + -28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '28b' to each side of the equation. -24 + 3b + 28b = 38 + -28b + 28b Combine like terms: 3b + 28b = 31b -24 + 31b = 38 + -28b + 28b Combine like terms: -28b + 28b = 0 -24 + 31b = 38 + 0 -24 + 31b = 38 Add '24' to each side of the equation. -24 + 24 + 31b = 38 + 24 Combine like terms: -24 + 24 = 0 0 + 31b = 38 + 24 31b = 38 + 24 Combine like terms: 38 + 24 = 62 31b = 62 Divide each side by '31'. b = 2 Simplifying b = 2
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