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Simplifying -1.1 + -17.6k = -7.6k + 3(-3 + -1.7) Combine like terms: -3 + -1.7 = -4.7 -1.1 + -17.6k = -7.6k + 3(-4.7) Multiply 3 * -4.7 -1.1 + -17.6k = -7.6k + -14.1 Reorder the terms: -1.1 + -17.6k = -14.1 + -7.6k Solving -1.1 + -17.6k = -14.1 + -7.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7.6k' to each side of the equation. -1.1 + -17.6k + 7.6k = -14.1 + -7.6k + 7.6k Combine like terms: -17.6k + 7.6k = -10k -1.1 + -10k = -14.1 + -7.6k + 7.6k Combine like terms: -7.6k + 7.6k = 0.0 -1.1 + -10k = -14.1 + 0.0 -1.1 + -10k = -14.1 Add '1.1' to each side of the equation. -1.1 + 1.1 + -10k = -14.1 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + -10k = -14.1 + 1.1 -10k = -14.1 + 1.1 Combine like terms: -14.1 + 1.1 = -13 -10k = -13 Divide each side by '-10'. k = 1.3 Simplifying k = 1.3
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