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Simplifying 77 = 0.5(7)(9 + b) Multiply 0.5 * 7 77 = 3.5(9 + b) 77 = (9 * 3.5 + b * 3.5) 77 = (31.5 + 3.5b) Solving 77 = 31.5 + 3.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3.5b' to each side of the equation. 77 + -3.5b = 31.5 + 3.5b + -3.5b Combine like terms: 3.5b + -3.5b = 0.0 77 + -3.5b = 31.5 + 0.0 77 + -3.5b = 31.5 Add '-77' to each side of the equation. 77 + -77 + -3.5b = 31.5 + -77 Combine like terms: 77 + -77 = 0 0 + -3.5b = 31.5 + -77 -3.5b = 31.5 + -77 Combine like terms: 31.5 + -77 = -45.5 -3.5b = -45.5 Divide each side by '-3.5'. b = 13 Simplifying b = 13
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