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Simplifying 4k + -7 = 3(5k + -4) Reorder the terms: -7 + 4k = 3(5k + -4) Reorder the terms: -7 + 4k = 3(-4 + 5k) -7 + 4k = (-4 * 3 + 5k * 3) -7 + 4k = (-12 + 15k) Solving -7 + 4k = -12 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -7 + 4k + -15k = -12 + 15k + -15k Combine like terms: 4k + -15k = -11k -7 + -11k = -12 + 15k + -15k Combine like terms: 15k + -15k = 0 -7 + -11k = -12 + 0 -7 + -11k = -12 Add '7' to each side of the equation. -7 + 7 + -11k = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -11k = -12 + 7 -11k = -12 + 7 Combine like terms: -12 + 7 = -5 -11k = -5 Divide each side by '-11'. k = 0.4545454545 Simplifying k = 0.4545454545
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