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Simplifying 4(-4 + -6k) + -7 = -47 (-4 * 4 + -6k * 4) + -7 = -47 (-16 + -24k) + -7 = -47 Reorder the terms: -16 + -7 + -24k = -47 Combine like terms: -16 + -7 = -23 -23 + -24k = -47 Solving -23 + -24k = -47 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -24k = -47 + 23 Combine like terms: -23 + 23 = 0 0 + -24k = -47 + 23 -24k = -47 + 23 Combine like terms: -47 + 23 = -24 -24k = -24 Divide each side by '-24'. k = 1 Simplifying k = 1
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