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Simplifying -7(2b + -4) = 5(-2b + -6) Reorder the terms: -7(-4 + 2b) = 5(-2b + -6) (-4 * -7 + 2b * -7) = 5(-2b + -6) (28 + -14b) = 5(-2b + -6) Reorder the terms: 28 + -14b = 5(-6 + -2b) 28 + -14b = (-6 * 5 + -2b * 5) 28 + -14b = (-30 + -10b) Solving 28 + -14b = -30 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 28 + -14b + 10b = -30 + -10b + 10b Combine like terms: -14b + 10b = -4b 28 + -4b = -30 + -10b + 10b Combine like terms: -10b + 10b = 0 28 + -4b = -30 + 0 28 + -4b = -30 Add '-28' to each side of the equation. 28 + -28 + -4b = -30 + -28 Combine like terms: 28 + -28 = 0 0 + -4b = -30 + -28 -4b = -30 + -28 Combine like terms: -30 + -28 = -58 -4b = -58 Divide each side by '-4'. b = 14.5 Simplifying b = 14.5
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