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Simplifying 10b + -6 = 4b + -15 + -3b Reorder the terms: -6 + 10b = 4b + -15 + -3b Reorder the terms: -6 + 10b = -15 + 4b + -3b Combine like terms: 4b + -3b = 1b -6 + 10b = -15 + 1b Solving -6 + 10b = -15 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -6 + 10b + -1b = -15 + 1b + -1b Combine like terms: 10b + -1b = 9b -6 + 9b = -15 + 1b + -1b Combine like terms: 1b + -1b = 0 -6 + 9b = -15 + 0 -6 + 9b = -15 Add '6' to each side of the equation. -6 + 6 + 9b = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 9b = -15 + 6 9b = -15 + 6 Combine like terms: -15 + 6 = -9 9b = -9 Divide each side by '9'. b = -1 Simplifying b = -1
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