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Simplifying -7 + -1b = 6(6b + 5) Reorder the terms: -7 + -1b = 6(5 + 6b) -7 + -1b = (5 * 6 + 6b * 6) -7 + -1b = (30 + 36b) Solving -7 + -1b = 30 + 36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36b' to each side of the equation. -7 + -1b + -36b = 30 + 36b + -36b Combine like terms: -1b + -36b = -37b -7 + -37b = 30 + 36b + -36b Combine like terms: 36b + -36b = 0 -7 + -37b = 30 + 0 -7 + -37b = 30 Add '7' to each side of the equation. -7 + 7 + -37b = 30 + 7 Combine like terms: -7 + 7 = 0 0 + -37b = 30 + 7 -37b = 30 + 7 Combine like terms: 30 + 7 = 37 -37b = 37 Divide each side by '-37'. b = -1 Simplifying b = -1
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