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Simplifying 12.6 = -49k + 4(8.5k + -0.6) Reorder the terms: 12.6 = -49k + 4(-0.6 + 8.5k) 12.6 = -49k + (-0.6 * 4 + 8.5k * 4) 12.6 = -49k + (-2.4 + 34k) Reorder the terms: 12.6 = -2.4 + -49k + 34k Combine like terms: -49k + 34k = -15k 12.6 = -2.4 + -15k Solving 12.6 = -2.4 + -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. 12.6 + 15k = -2.4 + -15k + 15k Combine like terms: -15k + 15k = 0 12.6 + 15k = -2.4 + 0 12.6 + 15k = -2.4 Add '-12.6' to each side of the equation. 12.6 + -12.6 + 15k = -2.4 + -12.6 Combine like terms: 12.6 + -12.6 = 0.0 0.0 + 15k = -2.4 + -12.6 15k = -2.4 + -12.6 Combine like terms: -2.4 + -12.6 = -15 15k = -15 Divide each side by '15'. k = -1 Simplifying k = -1
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