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Simplifying 9(b + 7) + 4b = -6b + -6(b + 2) Reorder the terms: 9(7 + b) + 4b = -6b + -6(b + 2) (7 * 9 + b * 9) + 4b = -6b + -6(b + 2) (63 + 9b) + 4b = -6b + -6(b + 2) Combine like terms: 9b + 4b = 13b 63 + 13b = -6b + -6(b + 2) Reorder the terms: 63 + 13b = -6b + -6(2 + b) 63 + 13b = -6b + (2 * -6 + b * -6) 63 + 13b = -6b + (-12 + -6b) Reorder the terms: 63 + 13b = -12 + -6b + -6b Combine like terms: -6b + -6b = -12b 63 + 13b = -12 + -12b Solving 63 + 13b = -12 + -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. 63 + 13b + 12b = -12 + -12b + 12b Combine like terms: 13b + 12b = 25b 63 + 25b = -12 + -12b + 12b Combine like terms: -12b + 12b = 0 63 + 25b = -12 + 0 63 + 25b = -12 Add '-63' to each side of the equation. 63 + -63 + 25b = -12 + -63 Combine like terms: 63 + -63 = 0 0 + 25b = -12 + -63 25b = -12 + -63 Combine like terms: -12 + -63 = -75 25b = -75 Divide each side by '25'. b = -3 Simplifying b = -3
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