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Simplifying -4(b + 4) = 4(5b + 17) Reorder the terms: -4(4 + b) = 4(5b + 17) (4 * -4 + b * -4) = 4(5b + 17) (-16 + -4b) = 4(5b + 17) Reorder the terms: -16 + -4b = 4(17 + 5b) -16 + -4b = (17 * 4 + 5b * 4) -16 + -4b = (68 + 20b) Solving -16 + -4b = 68 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. -16 + -4b + -20b = 68 + 20b + -20b Combine like terms: -4b + -20b = -24b -16 + -24b = 68 + 20b + -20b Combine like terms: 20b + -20b = 0 -16 + -24b = 68 + 0 -16 + -24b = 68 Add '16' to each side of the equation. -16 + 16 + -24b = 68 + 16 Combine like terms: -16 + 16 = 0 0 + -24b = 68 + 16 -24b = 68 + 16 Combine like terms: 68 + 16 = 84 -24b = 84 Divide each side by '-24'. b = -3.5 Simplifying b = -3.5
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