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Simplifying 10(-2b + 3) + 15 = -55 Reorder the terms: 10(3 + -2b) + 15 = -55 (3 * 10 + -2b * 10) + 15 = -55 (30 + -20b) + 15 = -55 Reorder the terms: 30 + 15 + -20b = -55 Combine like terms: 30 + 15 = 45 45 + -20b = -55 Solving 45 + -20b = -55 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -20b = -55 + -45 Combine like terms: 45 + -45 = 0 0 + -20b = -55 + -45 -20b = -55 + -45 Combine like terms: -55 + -45 = -100 -20b = -100 Divide each side by '-20'. b = 5 Simplifying b = 5
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