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Simplifying 3(2b + -5) + 10 = 2b + 7 Reorder the terms: 3(-5 + 2b) + 10 = 2b + 7 (-5 * 3 + 2b * 3) + 10 = 2b + 7 (-15 + 6b) + 10 = 2b + 7 Reorder the terms: -15 + 10 + 6b = 2b + 7 Combine like terms: -15 + 10 = -5 -5 + 6b = 2b + 7 Reorder the terms: -5 + 6b = 7 + 2b Solving -5 + 6b = 7 + 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. -5 + 6b + -2b = 7 + 2b + -2b Combine like terms: 6b + -2b = 4b -5 + 4b = 7 + 2b + -2b Combine like terms: 2b + -2b = 0 -5 + 4b = 7 + 0 -5 + 4b = 7 Add '5' to each side of the equation. -5 + 5 + 4b = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4b = 7 + 5 4b = 7 + 5 Combine like terms: 7 + 5 = 12 4b = 12 Divide each side by '4'. b = 3 Simplifying b = 3
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