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Simplifying 2b + 4[b + -6] = -2[2b + -14] + 98 Reorder the terms: 2b + 4[-6 + b] = -2[2b + -14] + 98 2b + [-6 * 4 + b * 4] = -2[2b + -14] + 98 2b + [-24 + 4b] = -2[2b + -14] + 98 Reorder the terms: -24 + 2b + 4b = -2[2b + -14] + 98 Combine like terms: 2b + 4b = 6b -24 + 6b = -2[2b + -14] + 98 Reorder the terms: -24 + 6b = -2[-14 + 2b] + 98 -24 + 6b = [-14 * -2 + 2b * -2] + 98 -24 + 6b = [28 + -4b] + 98 Reorder the terms: -24 + 6b = 28 + 98 + -4b Combine like terms: 28 + 98 = 126 -24 + 6b = 126 + -4b Solving -24 + 6b = 126 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -24 + 6b + 4b = 126 + -4b + 4b Combine like terms: 6b + 4b = 10b -24 + 10b = 126 + -4b + 4b Combine like terms: -4b + 4b = 0 -24 + 10b = 126 + 0 -24 + 10b = 126 Add '24' to each side of the equation. -24 + 24 + 10b = 126 + 24 Combine like terms: -24 + 24 = 0 0 + 10b = 126 + 24 10b = 126 + 24 Combine like terms: 126 + 24 = 150 10b = 150 Divide each side by '10'. b = 15 Simplifying b = 15
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