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Simplifying 4k + -7 = 3(5k) + -4 Reorder the terms: -7 + 4k = 3(5k) + -4 Remove parenthesis around (5k) -7 + 4k = 3 * 5k + -4 Multiply 3 * 5 -7 + 4k = 15k + -4 Reorder the terms: -7 + 4k = -4 + 15k Solving -7 + 4k = -4 + 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 = -4 + 15k + -15k Combine like terms: 4k + -15k = -11k -7 + -11k = -4 + 15k + -15k Combine like terms: 15k + -15k = 0 -7 + -11k = -4 + 0 -7 + -11k = -4 Add '7' to each side of the equation. -7 + 7 + -11k = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -11k = -4 + 7 -11k = -4 + 7 Combine like terms: -4 + 7 = 3 -11k = 3 Divide each side by '-11'. k = -0.2727272727 Simplifying k = -0.2727272727
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