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Simplifying -7(2b + -4) = (2b + 6) Reorder the terms: -7(-4 + 2b) = (2b + 6) (-4 * -7 + 2b * -7) = (2b + 6) (28 + -14b) = (2b + 6) Reorder the terms: 28 + -14b = (6 + 2b) Remove parenthesis around (6 + 2b) 28 + -14b = 6 + 2b Solving 28 + -14b = 6 + 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. 28 + -14b + -2b = 6 + 2b + -2b Combine like terms: -14b + -2b = -16b 28 + -16b = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 28 + -16b = 6 + 0 28 + -16b = 6 Add '-28' to each side of the equation. 28 + -28 + -16b = 6 + -28 Combine like terms: 28 + -28 = 0 0 + -16b = 6 + -28 -16b = 6 + -28 Combine like terms: 6 + -28 = -22 -16b = -22 Divide each side by '-16'. b = 1.375 Simplifying b = 1.375
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