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Simplifying 3(2b + -5) + 10 = 7b + -12 Reorder the terms: 3(-5 + 2b) + 10 = 7b + -12 (-5 * 3 + 2b * 3) + 10 = 7b + -12 (-15 + 6b) + 10 = 7b + -12 Reorder the terms: -15 + 10 + 6b = 7b + -12 Combine like terms: -15 + 10 = -5 -5 + 6b = 7b + -12 Reorder the terms: -5 + 6b = -12 + 7b Solving -5 + 6b = -12 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -5 + 6b + -7b = -12 + 7b + -7b Combine like terms: 6b + -7b = -1b -5 + -1b = -12 + 7b + -7b Combine like terms: 7b + -7b = 0 -5 + -1b = -12 + 0 -5 + -1b = -12 Add '5' to each side of the equation. -5 + 5 + -1b = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -1b = -12 + 5 -1b = -12 + 5 Combine like terms: -12 + 5 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7
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