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Simplifying 38b = 4[4b + -1] + -84 Reorder the terms: 38b = 4[-1 + 4b] + -84 38b = [-1 * 4 + 4b * 4] + -84 38b = [-4 + 16b] + -84 Reorder the terms: 38b = -4 + -84 + 16b Combine like terms: -4 + -84 = -88 38b = -88 + 16b Solving 38b = -88 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. 38b + -16b = -88 + 16b + -16b Combine like terms: 38b + -16b = 22b 22b = -88 + 16b + -16b Combine like terms: 16b + -16b = 0 22b = -88 + 0 22b = -88 Divide each side by '22'. b = -4 Simplifying b = -4
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