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Simplifying 3(4k + 14) = 10x + -2(g + -7) Reorder the terms: 3(14 + 4k) = 10x + -2(g + -7) (14 * 3 + 4k * 3) = 10x + -2(g + -7) (42 + 12k) = 10x + -2(g + -7) Reorder the terms: 42 + 12k = 10x + -2(-7 + g) 42 + 12k = 10x + (-7 * -2 + g * -2) 42 + 12k = 10x + (14 + -2g) Reorder the terms: 42 + 12k = 14 + -2g + 10x Solving 42 + 12k = 14 + -2g + 10x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 12k = 14 + -2g + -42 + 10x Combine like terms: 42 + -42 = 0 0 + 12k = 14 + -2g + -42 + 10x 12k = 14 + -2g + -42 + 10x Reorder the terms: 12k = 14 + -42 + -2g + 10x Combine like terms: 14 + -42 = -28 12k = -28 + -2g + 10x Divide each side by '12'. k = -2.333333333 + -0.1666666667g + 0.8333333333x Simplifying k = -2.333333333 + -0.1666666667g + 0.8333333333x
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