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Simplifying 4(9m + 6b + 4) + r = 0 Reorder the terms: 4(4 + 6b + 9m) + r = 0 (4 * 4 + 6b * 4 + 9m * 4) + r = 0 (16 + 24b + 36m) + r = 0 Solving 16 + 24b + 36m + r = 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 + 24b + 36m + -16 + r = 0 + -16 Reorder the terms: 16 + -16 + 24b + 36m + r = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 24b + 36m + r = 0 + -16 24b + 36m + r = 0 + -16 Combine like terms: 0 + -16 = -16 24b + 36m + r = -16 Add '-36m' to each side of the equation. 24b + 36m + -36m + r = -16 + -36m Combine like terms: 36m + -36m = 0 24b + 0 + r = -16 + -36m 24b + r = -16 + -36m Add '-1r' to each side of the equation. 24b + r + -1r = -16 + -36m + -1r Combine like terms: r + -1r = 0 24b + 0 = -16 + -36m + -1r 24b = -16 + -36m + -1r Divide each side by '24'. b = -0.6666666667 + -1.5m + -0.04166666667r Simplifying b = -0.6666666667 + -1.5m + -0.04166666667r
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