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Simplifying -23 + 6b = 7(b + -4) Reorder the terms: -23 + 6b = 7(-4 + b) -23 + 6b = (-4 * 7 + b * 7) -23 + 6b = (-28 + 7b) Solving -23 + 6b = -28 + 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. -23 + 6b + -7b = -28 + 7b + -7b Combine like terms: 6b + -7b = -1b -23 + -1b = -28 + 7b + -7b Combine like terms: 7b + -7b = 0 -23 + -1b = -28 + 0 -23 + -1b = -28 Add '23' to each side of the equation. -23 + 23 + -1b = -28 + 23 Combine like terms: -23 + 23 = 0 0 + -1b = -28 + 23 -1b = -28 + 23 Combine like terms: -28 + 23 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5
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