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Simplifying -3(x + -5) + -8(y + 2) + (-3)(6 + -4b) = 0 Reorder the terms: -3(-5 + x) + -8(y + 2) + (-3)(6 + -4b) = 0 (-5 * -3 + x * -3) + -8(y + 2) + (-3)(6 + -4b) = 0 (15 + -3x) + -8(y + 2) + (-3)(6 + -4b) = 0 Reorder the terms: 15 + -3x + -8(2 + y) + (-3)(6 + -4b) = 0 15 + -3x + (2 * -8 + y * -8) + (-3)(6 + -4b) = 0 15 + -3x + (-16 + -8y) + (-3)(6 + -4b) = 0 15 + -3x + -16 + -8y + (6 * -3 + -4b * -3) = 0 15 + -3x + -16 + -8y + (-18 + 12b) = 0 Reorder the terms: 15 + -16 + -18 + 12b + -3x + -8y = 0 Combine like terms: 15 + -16 = -1 -1 + -18 + 12b + -3x + -8y = 0 Combine like terms: -1 + -18 = -19 -19 + 12b + -3x + -8y = 0 Solving -19 + 12b + -3x + -8y = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 12b + -3x + 19 + -8y = 0 + 19 Reorder the terms: -19 + 19 + 12b + -3x + -8y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 12b + -3x + -8y = 0 + 19 12b + -3x + -8y = 0 + 19 Combine like terms: 0 + 19 = 19 12b + -3x + -8y = 19 Add '3x' to each side of the equation. 12b + -3x + 3x + -8y = 19 + 3x Combine like terms: -3x + 3x = 0 12b + 0 + -8y = 19 + 3x 12b + -8y = 19 + 3x Add '8y' to each side of the equation. 12b + -8y + 8y = 19 + 3x + 8y Combine like terms: -8y + 8y = 0 12b + 0 = 19 + 3x + 8y 12b = 19 + 3x + 8y Divide each side by '12'. b = 1.583333333 + 0.25x + 0.6666666667y Simplifying b = 1.583333333 + 0.25x + 0.6666666667y
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