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Simplifying (1 + -3k) + -4(2.5k) = 0 Remove parenthesis around (1 + -3k) 1 + -3k + -4(2.5k) = 0 Remove parenthesis around (2.5k) 1 + -3k + -4 * 2.5k = 0 Multiply -4 * 2.5 1 + -3k + -10k = 0 Combine like terms: -3k + -10k = -13k 1 + -13k = 0 Solving 1 + -13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -13k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -13k = 0 + -1 -13k = 0 + -1 Combine like terms: 0 + -1 = -1 -13k = -1 Divide each side by '-13'. k = 0.07692307692 Simplifying k = 0.07692307692
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