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Simplifying 5(k + 4) + -4(m + 3) = 0 Reorder the terms: 5(4 + k) + -4(m + 3) = 0 (4 * 5 + k * 5) + -4(m + 3) = 0 (20 + 5k) + -4(m + 3) = 0 Reorder the terms: 20 + 5k + -4(3 + m) = 0 20 + 5k + (3 * -4 + m * -4) = 0 20 + 5k + (-12 + -4m) = 0 Reorder the terms: 20 + -12 + 5k + -4m = 0 Combine like terms: 20 + -12 = 8 8 + 5k + -4m = 0 Solving 8 + 5k + -4m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5k + -8 + -4m = 0 + -8 Reorder the terms: 8 + -8 + 5k + -4m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5k + -4m = 0 + -8 5k + -4m = 0 + -8 Combine like terms: 0 + -8 = -8 5k + -4m = -8 Add '4m' to each side of the equation. 5k + -4m + 4m = -8 + 4m Combine like terms: -4m + 4m = 0 5k + 0 = -8 + 4m 5k = -8 + 4m Divide each side by '5'. k = -1.6 + 0.8m Simplifying k = -1.6 + 0.8m
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