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Simplifying 5(-3.4k + -7) + (3 + 21) = 0 Reorder the terms: 5(-7 + -3.4k) + (3 + 21) = 0 (-7 * 5 + -3.4k * 5) + (3 + 21) = 0 (-35 + -17k) + (3 + 21) = 0 Combine like terms: 3 + 21 = 24 -35 + -17k + (24) = 0 -35 + -17k + 24 = 0 Reorder the terms: -35 + 24 + -17k = 0 Combine like terms: -35 + 24 = -11 -11 + -17k = 0 Solving -11 + -17k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -17k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -17k = 0 + 11 -17k = 0 + 11 Combine like terms: 0 + 11 = 11 -17k = 11 Divide each side by '-17'. k = -0.6470588235 Simplifying k = -0.6470588235
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