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Simplifying 30 + -5b = -3(b + -7) + b Reorder the terms: 30 + -5b = -3(-7 + b) + b 30 + -5b = (-7 * -3 + b * -3) + b 30 + -5b = (21 + -3b) + b Combine like terms: -3b + b = -2b 30 + -5b = 21 + -2b Solving 30 + -5b = 21 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 30 + -5b + 2b = 21 + -2b + 2b Combine like terms: -5b + 2b = -3b 30 + -3b = 21 + -2b + 2b Combine like terms: -2b + 2b = 0 30 + -3b = 21 + 0 30 + -3b = 21 Add '-30' to each side of the equation. 30 + -30 + -3b = 21 + -30 Combine like terms: 30 + -30 = 0 0 + -3b = 21 + -30 -3b = 21 + -30 Combine like terms: 21 + -30 = -9 -3b = -9 Divide each side by '-3'. b = 3 Simplifying b = 3
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