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Simplifying 100 = 4b + 4(7 + -4b) 100 = 4b + (7 * 4 + -4b * 4) 100 = 4b + (28 + -16b) Reorder the terms: 100 = 28 + 4b + -16b Combine like terms: 4b + -16b = -12b 100 = 28 + -12b Solving 100 = 28 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. 100 + 12b = 28 + -12b + 12b Combine like terms: -12b + 12b = 0 100 + 12b = 28 + 0 100 + 12b = 28 Add '-100' to each side of the equation. 100 + -100 + 12b = 28 + -100 Combine like terms: 100 + -100 = 0 0 + 12b = 28 + -100 12b = 28 + -100 Combine like terms: 28 + -100 = -72 12b = -72 Divide each side by '12'. b = -6 Simplifying b = -6
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