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Simplifying -2 + -1b = -5 + 4(4b + 5) Reorder the terms: -2 + -1b = -5 + 4(5 + 4b) -2 + -1b = -5 + (5 * 4 + 4b * 4) -2 + -1b = -5 + (20 + 16b) Combine like terms: -5 + 20 = 15 -2 + -1b = 15 + 16b Solving -2 + -1b = 15 + 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. -2 + -1b + -16b = 15 + 16b + -16b Combine like terms: -1b + -16b = -17b -2 + -17b = 15 + 16b + -16b Combine like terms: 16b + -16b = 0 -2 + -17b = 15 + 0 -2 + -17b = 15 Add '2' to each side of the equation. -2 + 2 + -17b = 15 + 2 Combine like terms: -2 + 2 = 0 0 + -17b = 15 + 2 -17b = 15 + 2 Combine like terms: 15 + 2 = 17 -17b = 17 Divide each side by '-17'. b = -1 Simplifying b = -1
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