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Simplifying 4(-4k + -4) + -3(4k + 1) = 0 Reorder the terms: 4(-4 + -4k) + -3(4k + 1) = 0 (-4 * 4 + -4k * 4) + -3(4k + 1) = 0 (-16 + -16k) + -3(4k + 1) = 0 Reorder the terms: -16 + -16k + -3(1 + 4k) = 0 -16 + -16k + (1 * -3 + 4k * -3) = 0 -16 + -16k + (-3 + -12k) = 0 Reorder the terms: -16 + -3 + -16k + -12k = 0 Combine like terms: -16 + -3 = -19 -19 + -16k + -12k = 0 Combine like terms: -16k + -12k = -28k -19 + -28k = 0 Solving -19 + -28k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -28k = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -28k = 0 + 19 -28k = 0 + 19 Combine like terms: 0 + 19 = 19 -28k = 19 Divide each side by '-28'. k = -0.6785714286 Simplifying k = -0.6785714286
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