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Simplifying -38 + 6b = 8(b + -7) + 6 Reorder the terms: -38 + 6b = 8(-7 + b) + 6 -38 + 6b = (-7 * 8 + b * 8) + 6 -38 + 6b = (-56 + 8b) + 6 Reorder the terms: -38 + 6b = -56 + 6 + 8b Combine like terms: -56 + 6 = -50 -38 + 6b = -50 + 8b Solving -38 + 6b = -50 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -38 + 6b + -8b = -50 + 8b + -8b Combine like terms: 6b + -8b = -2b -38 + -2b = -50 + 8b + -8b Combine like terms: 8b + -8b = 0 -38 + -2b = -50 + 0 -38 + -2b = -50 Add '38' to each side of the equation. -38 + 38 + -2b = -50 + 38 Combine like terms: -38 + 38 = 0 0 + -2b = -50 + 38 -2b = -50 + 38 Combine like terms: -50 + 38 = -12 -2b = -12 Divide each side by '-2'. b = 6 Simplifying b = 6
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