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Simplifying 10(2k + -3) + -7 + 4k = 0 Reorder the terms: 10(-3 + 2k) + -7 + 4k = 0 (-3 * 10 + 2k * 10) + -7 + 4k = 0 (-30 + 20k) + -7 + 4k = 0 Reorder the terms: -30 + -7 + 20k + 4k = 0 Combine like terms: -30 + -7 = -37 -37 + 20k + 4k = 0 Combine like terms: 20k + 4k = 24k -37 + 24k = 0 Solving -37 + 24k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 24k = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 24k = 0 + 37 24k = 0 + 37 Combine like terms: 0 + 37 = 37 24k = 37 Divide each side by '24'. k = 1.541666667 Simplifying k = 1.541666667
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