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Simplifying 4(8b + 9) = 1(4b + -4) + 6 Reorder the terms: 4(9 + 8b) = 1(4b + -4) + 6 (9 * 4 + 8b * 4) = 1(4b + -4) + 6 (36 + 32b) = 1(4b + -4) + 6 Reorder the terms: 36 + 32b = 1(-4 + 4b) + 6 36 + 32b = (-4 * 1 + 4b * 1) + 6 36 + 32b = (-4 + 4b) + 6 Reorder the terms: 36 + 32b = -4 + 6 + 4b Combine like terms: -4 + 6 = 2 36 + 32b = 2 + 4b Solving 36 + 32b = 2 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 36 + 32b + -4b = 2 + 4b + -4b Combine like terms: 32b + -4b = 28b 36 + 28b = 2 + 4b + -4b Combine like terms: 4b + -4b = 0 36 + 28b = 2 + 0 36 + 28b = 2 Add '-36' to each side of the equation. 36 + -36 + 28b = 2 + -36 Combine like terms: 36 + -36 = 0 0 + 28b = 2 + -36 28b = 2 + -36 Combine like terms: 2 + -36 = -34 28b = -34 Divide each side by '28'. b = -1.214285714 Simplifying b = -1.214285714
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