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Simplifying 3(2k + -7) + -1(x + 3) = -60 Reorder the terms: 3(-7 + 2k) + -1(x + 3) = -60 (-7 * 3 + 2k * 3) + -1(x + 3) = -60 (-21 + 6k) + -1(x + 3) = -60 Reorder the terms: -21 + 6k + -1(3 + x) = -60 -21 + 6k + (3 * -1 + x * -1) = -60 -21 + 6k + (-3 + -1x) = -60 Reorder the terms: -21 + -3 + 6k + -1x = -60 Combine like terms: -21 + -3 = -24 -24 + 6k + -1x = -60 Solving -24 + 6k + -1x = -60 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 6k + 24 + -1x = -60 + 24 Reorder the terms: -24 + 24 + 6k + -1x = -60 + 24 Combine like terms: -24 + 24 = 0 0 + 6k + -1x = -60 + 24 6k + -1x = -60 + 24 Combine like terms: -60 + 24 = -36 6k + -1x = -36 Add 'x' to each side of the equation. 6k + -1x + x = -36 + x Combine like terms: -1x + x = 0 6k + 0 = -36 + x 6k = -36 + x Divide each side by '6'. k = -6 + 0.1666666667x Simplifying k = -6 + 0.1666666667x
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