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Simplifying 5z + -3 + 6x + -7 + 11 + -2b + 6b = 0 Reorder the terms: -3 + -7 + 11 + -2b + 6b + 6x + 5z = 0 Combine like terms: -3 + -7 = -10 -10 + 11 + -2b + 6b + 6x + 5z = 0 Combine like terms: -10 + 11 = 1 1 + -2b + 6b + 6x + 5z = 0 Combine like terms: -2b + 6b = 4b 1 + 4b + 6x + 5z = 0 Solving 1 + 4b + 6x + 5z = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4b + 6x + -1 + 5z = 0 + -1 Reorder the terms: 1 + -1 + 4b + 6x + 5z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4b + 6x + 5z = 0 + -1 4b + 6x + 5z = 0 + -1 Combine like terms: 0 + -1 = -1 4b + 6x + 5z = -1 Add '-6x' to each side of the equation. 4b + 6x + -6x + 5z = -1 + -6x Combine like terms: 6x + -6x = 0 4b + 0 + 5z = -1 + -6x 4b + 5z = -1 + -6x Add '-5z' to each side of the equation. 4b + 5z + -5z = -1 + -6x + -5z Combine like terms: 5z + -5z = 0 4b + 0 = -1 + -6x + -5z 4b = -1 + -6x + -5z Divide each side by '4'. b = -0.25 + -1.5x + -1.25z Simplifying b = -0.25 + -1.5x + -1.25z
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