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Simplifying 3(6b + -4) = 7b + 10 Reorder the terms: 3(-4 + 6b) = 7b + 10 (-4 * 3 + 6b * 3) = 7b + 10 (-12 + 18b) = 7b + 10 Reorder the terms: -12 + 18b = 10 + 7b Solving -12 + 18b = 10 + 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. -12 + 18b + -7b = 10 + 7b + -7b Combine like terms: 18b + -7b = 11b -12 + 11b = 10 + 7b + -7b Combine like terms: 7b + -7b = 0 -12 + 11b = 10 + 0 -12 + 11b = 10 Add '12' to each side of the equation. -12 + 12 + 11b = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 11b = 10 + 12 11b = 10 + 12 Combine like terms: 10 + 12 = 22 11b = 22 Divide each side by '11'. b = 2 Simplifying b = 2
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