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Simplifying 31 + -3b = 7(4b + 9) Reorder the terms: 31 + -3b = 7(9 + 4b) 31 + -3b = (9 * 7 + 4b * 7) 31 + -3b = (63 + 28b) Solving 31 + -3b = 63 + 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. 31 + -3b + -28b = 63 + 28b + -28b Combine like terms: -3b + -28b = -31b 31 + -31b = 63 + 28b + -28b Combine like terms: 28b + -28b = 0 31 + -31b = 63 + 0 31 + -31b = 63 Add '-31' to each side of the equation. 31 + -31 + -31b = 63 + -31 Combine like terms: 31 + -31 = 0 0 + -31b = 63 + -31 -31b = 63 + -31 Combine like terms: 63 + -31 = 32 -31b = 32 Divide each side by '-31'. b = -1.032258065 Simplifying b = -1.032258065
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