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Simplifying 6x + 3y + -5b + -16 = 0 Reorder the terms: -16 + -5b + 6x + 3y = 0 Solving -16 + -5b + 6x + 3y = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -5b + 6x + 16 + 3y = 0 + 16 Reorder the terms: -16 + 16 + -5b + 6x + 3y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -5b + 6x + 3y = 0 + 16 -5b + 6x + 3y = 0 + 16 Combine like terms: 0 + 16 = 16 -5b + 6x + 3y = 16 Add '-6x' to each side of the equation. -5b + 6x + -6x + 3y = 16 + -6x Combine like terms: 6x + -6x = 0 -5b + 0 + 3y = 16 + -6x -5b + 3y = 16 + -6x Add '-3y' to each side of the equation. -5b + 3y + -3y = 16 + -6x + -3y Combine like terms: 3y + -3y = 0 -5b + 0 = 16 + -6x + -3y -5b = 16 + -6x + -3y Divide each side by '-5'. b = -3.2 + 1.2x + 0.6y Simplifying b = -3.2 + 1.2x + 0.6y
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