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Simplifying 4(7 + -2b) + 3(4b + 3) + -7(b + -3) = 48 (7 * 4 + -2b * 4) + 3(4b + 3) + -7(b + -3) = 48 (28 + -8b) + 3(4b + 3) + -7(b + -3) = 48 Reorder the terms: 28 + -8b + 3(3 + 4b) + -7(b + -3) = 48 28 + -8b + (3 * 3 + 4b * 3) + -7(b + -3) = 48 28 + -8b + (9 + 12b) + -7(b + -3) = 48 Reorder the terms: 28 + -8b + 9 + 12b + -7(-3 + b) = 48 28 + -8b + 9 + 12b + (-3 * -7 + b * -7) = 48 28 + -8b + 9 + 12b + (21 + -7b) = 48 Reorder the terms: 28 + 9 + 21 + -8b + 12b + -7b = 48 Combine like terms: 28 + 9 = 37 37 + 21 + -8b + 12b + -7b = 48 Combine like terms: 37 + 21 = 58 58 + -8b + 12b + -7b = 48 Combine like terms: -8b + 12b = 4b 58 + 4b + -7b = 48 Combine like terms: 4b + -7b = -3b 58 + -3b = 48 Solving 58 + -3b = 48 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -3b = 48 + -58 Combine like terms: 58 + -58 = 0 0 + -3b = 48 + -58 -3b = 48 + -58 Combine like terms: 48 + -58 = -10 -3b = -10 Divide each side by '-3'. b = 3.333333333 Simplifying b = 3.333333333
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