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Simplifying 3(4b + -7) = -2b + 7 Reorder the terms: 3(-7 + 4b) = -2b + 7 (-7 * 3 + 4b * 3) = -2b + 7 (-21 + 12b) = -2b + 7 Reorder the terms: -21 + 12b = 7 + -2b Solving -21 + 12b = 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. -21 + 12b + 2b = 7 + -2b + 2b Combine like terms: 12b + 2b = 14b -21 + 14b = 7 + -2b + 2b Combine like terms: -2b + 2b = 0 -21 + 14b = 7 + 0 -21 + 14b = 7 Add '21' to each side of the equation. -21 + 21 + 14b = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 14b = 7 + 21 14b = 7 + 21 Combine like terms: 7 + 21 = 28 14b = 28 Divide each side by '14'. b = 2 Simplifying b = 2
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