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Simplifying -7 = m(-6) + b Reorder the terms for easier multiplication: -7 = -6m + b Reorder the terms: -7 = b + -6m Solving -7 = b + -6m Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -7 + -1b = b + -1b + -6m Combine like terms: b + -1b = 0 -7 + -1b = 0 + -6m -7 + -1b = -6m Add '7' to each side of the equation. -7 + 7 + -1b = 7 + -6m Combine like terms: -7 + 7 = 0 0 + -1b = 7 + -6m -1b = 7 + -6m Divide each side by '-1'. b = -7 + 6m Simplifying b = -7 + 6m
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