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Simplifying -3b + 45 = 12b + 30 Reorder the terms: 45 + -3b = 12b + 30 Reorder the terms: 45 + -3b = 30 + 12b Solving 45 + -3b = 30 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 45 + -3b + -12b = 30 + 12b + -12b Combine like terms: -3b + -12b = -15b 45 + -15b = 30 + 12b + -12b Combine like terms: 12b + -12b = 0 45 + -15b = 30 + 0 45 + -15b = 30 Add '-45' to each side of the equation. 45 + -45 + -15b = 30 + -45 Combine like terms: 45 + -45 = 0 0 + -15b = 30 + -45 -15b = 30 + -45 Combine like terms: 30 + -45 = -15 -15b = -15 Divide each side by '-15'. b = 1 Simplifying b = 1
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