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Simplifying 114 = 6(6b + -5) Reorder the terms: 114 = 6(-5 + 6b) 114 = (-5 * 6 + 6b * 6) 114 = (-30 + 36b) Solving 114 = -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. 114 + -36b = -30 + 36b + -36b Combine like terms: 36b + -36b = 0 114 + -36b = -30 + 0 114 + -36b = -30 Add '-114' to each side of the equation. 114 + -114 + -36b = -30 + -114 Combine like terms: 114 + -114 = 0 0 + -36b = -30 + -114 -36b = -30 + -114 Combine like terms: -30 + -114 = -144 -36b = -144 Divide each side by '-36'. b = 4 Simplifying b = 4
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