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Simplifying 30 + -7b = 7(-3b + 3) + -5 Reorder the terms: 30 + -7b = 7(3 + -3b) + -5 30 + -7b = (3 * 7 + -3b * 7) + -5 30 + -7b = (21 + -21b) + -5 Reorder the terms: 30 + -7b = 21 + -5 + -21b Combine like terms: 21 + -5 = 16 30 + -7b = 16 + -21b Solving 30 + -7b = 16 + -21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21b' to each side of the equation. 30 + -7b + 21b = 16 + -21b + 21b Combine like terms: -7b + 21b = 14b 30 + 14b = 16 + -21b + 21b Combine like terms: -21b + 21b = 0 30 + 14b = 16 + 0 30 + 14b = 16 Add '-30' to each side of the equation. 30 + -30 + 14b = 16 + -30 Combine like terms: 30 + -30 = 0 0 + 14b = 16 + -30 14b = 16 + -30 Combine like terms: 16 + -30 = -14 14b = -14 Divide each side by '14'. b = -1 Simplifying b = -1
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