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Simplifying 19 + -1(12 + -6k) = 10(x + -5) 19 + (12 * -1 + -6k * -1) = 10(x + -5) 19 + (-12 + 6k) = 10(x + -5) Combine like terms: 19 + -12 = 7 7 + 6k = 10(x + -5) Reorder the terms: 7 + 6k = 10(-5 + x) 7 + 6k = (-5 * 10 + x * 10) 7 + 6k = (-50 + 10x) Solving 7 + 6k = -50 + 10x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6k = -50 + -7 + 10x Combine like terms: 7 + -7 = 0 0 + 6k = -50 + -7 + 10x 6k = -50 + -7 + 10x Combine like terms: -50 + -7 = -57 6k = -57 + 10x Divide each side by '6'. k = -9.5 + 1.666666667x Simplifying k = -9.5 + 1.666666667x
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