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Simplifying 59 = 4(x + 2) + -7(4k + 3) Reorder the terms: 59 = 4(2 + x) + -7(4k + 3) 59 = (2 * 4 + x * 4) + -7(4k + 3) 59 = (8 + 4x) + -7(4k + 3) Reorder the terms: 59 = 8 + 4x + -7(3 + 4k) 59 = 8 + 4x + (3 * -7 + 4k * -7) 59 = 8 + 4x + (-21 + -28k) Reorder the terms: 59 = 8 + -21 + -28k + 4x Combine like terms: 8 + -21 = -13 59 = -13 + -28k + 4x Solving 59 = -13 + -28k + 4x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28k' to each side of the equation. 59 + 28k = -13 + -28k + 28k + 4x Combine like terms: -28k + 28k = 0 59 + 28k = -13 + 0 + 4x 59 + 28k = -13 + 4x Add '-59' to each side of the equation. 59 + -59 + 28k = -13 + -59 + 4x Combine like terms: 59 + -59 = 0 0 + 28k = -13 + -59 + 4x 28k = -13 + -59 + 4x Combine like terms: -13 + -59 = -72 28k = -72 + 4x Divide each side by '28'. k = -2.571428571 + 0.1428571429x Simplifying k = -2.571428571 + 0.1428571429x
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