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Simplifying 7 = 3r + 3(b + 5) Reorder the terms: 7 = 3r + 3(5 + b) 7 = 3r + (5 * 3 + b * 3) 7 = 3r + (15 + 3b) Reorder the terms: 7 = 15 + 3b + 3r Solving 7 = 15 + 3b + 3r 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. 7 + -3b = 15 + 3b + -3b + 3r Combine like terms: 3b + -3b = 0 7 + -3b = 15 + 0 + 3r 7 + -3b = 15 + 3r Add '-7' to each side of the equation. 7 + -7 + -3b = 15 + -7 + 3r Combine like terms: 7 + -7 = 0 0 + -3b = 15 + -7 + 3r -3b = 15 + -7 + 3r Combine like terms: 15 + -7 = 8 -3b = 8 + 3r Divide each side by '-3'. b = -2.666666667 + -1r Simplifying b = -2.666666667 + -1r
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