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Simplifying 48 = 0.5(b + 11) * 6 Reorder the terms: 48 = 0.5(11 + b) * 6 Reorder the terms for easier multiplication: 48 = 0.5 * 6(11 + b) Multiply 0.5 * 6 48 = 3(11 + b) 48 = (11 * 3 + b * 3) 48 = (33 + 3b) Solving 48 = 33 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 48 + -3b = 33 + 3b + -3b Combine like terms: 3b + -3b = 0 48 + -3b = 33 + 0 48 + -3b = 33 Add '-48' to each side of the equation. 48 + -48 + -3b = 33 + -48 Combine like terms: 48 + -48 = 0 0 + -3b = 33 + -48 -3b = 33 + -48 Combine like terms: 33 + -48 = -15 -3b = -15 Divide each side by '-3'. b = 5 Simplifying b = 5
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