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Simplifying 5.4(3k + -12) + 3.2(2k + 6) = 136 Reorder the terms: 5.4(-12 + 3k) + 3.2(2k + 6) = 136 (-12 * 5.4 + 3k * 5.4) + 3.2(2k + 6) = 136 (-64.8 + 16.2k) + 3.2(2k + 6) = 136 Reorder the terms: -64.8 + 16.2k + 3.2(6 + 2k) = 136 -64.8 + 16.2k + (6 * 3.2 + 2k * 3.2) = 136 -64.8 + 16.2k + (19.2 + 6.4k) = 136 Reorder the terms: -64.8 + 19.2 + 16.2k + 6.4k = 136 Combine like terms: -64.8 + 19.2 = -45.6 -45.6 + 16.2k + 6.4k = 136 Combine like terms: 16.2k + 6.4k = 22.6k -45.6 + 22.6k = 136 Solving -45.6 + 22.6k = 136 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '45.6' to each side of the equation. -45.6 + 45.6 + 22.6k = 136 + 45.6 Combine like terms: -45.6 + 45.6 = 0.0 0.0 + 22.6k = 136 + 45.6 22.6k = 136 + 45.6 Combine like terms: 136 + 45.6 = 181.6 22.6k = 181.6 Divide each side by '22.6'. k = 8.03539823 Simplifying k = 8.03539823
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