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Simplifying -3(3 + 4b) * 7 = 82 Reorder the terms for easier multiplication: -3 * 7(3 + 4b) = 82 Multiply -3 * 7 -21(3 + 4b) = 82 (3 * -21 + 4b * -21) = 82 (-63 + -84b) = 82 Solving -63 + -84b = 82 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -84b = 82 + 63 Combine like terms: -63 + 63 = 0 0 + -84b = 82 + 63 -84b = 82 + 63 Combine like terms: 82 + 63 = 145 -84b = 145 Divide each side by '-84'. b = -1.726190476 Simplifying b = -1.726190476
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