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Simplifying 2(k + -1.4) = -4(k + -6.2) Reorder the terms: 2(-1.4 + k) = -4(k + -6.2) (-1.4 * 2 + k * 2) = -4(k + -6.2) (-2.8 + 2k) = -4(k + -6.2) Reorder the terms: -2.8 + 2k = -4(-6.2 + k) -2.8 + 2k = (-6.2 * -4 + k * -4) -2.8 + 2k = (24.8 + -4k) Solving -2.8 + 2k = 24.8 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -2.8 + 2k + 4k = 24.8 + -4k + 4k Combine like terms: 2k + 4k = 6k -2.8 + 6k = 24.8 + -4k + 4k Combine like terms: -4k + 4k = 0 -2.8 + 6k = 24.8 + 0 -2.8 + 6k = 24.8 Add '2.8' to each side of the equation. -2.8 + 2.8 + 6k = 24.8 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 6k = 24.8 + 2.8 6k = 24.8 + 2.8 Combine like terms: 24.8 + 2.8 = 27.6 6k = 27.6 Divide each side by '6'. k = 4.6 Simplifying k = 4.6
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