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Simplifying 6 + -5(4b + -3) = 7(3 + -4d) + 8b Reorder the terms: 6 + -5(-3 + 4b) = 7(3 + -4d) + 8b 6 + (-3 * -5 + 4b * -5) = 7(3 + -4d) + 8b 6 + (15 + -20b) = 7(3 + -4d) + 8b Combine like terms: 6 + 15 = 21 21 + -20b = 7(3 + -4d) + 8b 21 + -20b = (3 * 7 + -4d * 7) + 8b 21 + -20b = (21 + -28d) + 8b Reorder the terms: 21 + -20b = 21 + 8b + -28d Add '-21' to each side of the equation. 21 + -21 + -20b = 21 + 8b + -21 + -28d Combine like terms: 21 + -21 = 0 0 + -20b = 21 + 8b + -21 + -28d -20b = 21 + 8b + -21 + -28d Reorder the terms: -20b = 21 + -21 + 8b + -28d Combine like terms: 21 + -21 = 0 -20b = 0 + 8b + -28d -20b = 8b + -28d Solving -20b = 8b + -28d 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. -20b + -8b = 8b + -8b + -28d Combine like terms: -20b + -8b = -28b -28b = 8b + -8b + -28d Combine like terms: 8b + -8b = 0 -28b = 0 + -28d -28b = -28d Divide each side by '-28'. b = d Simplifying b = d
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