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Simplifying (1 + -3k) + -4(2 + 2.5k) = 0 Remove parenthesis around (1 + -3k) 1 + -3k + -4(2 + 2.5k) = 0 1 + -3k + (2 * -4 + 2.5k * -4) = 0 1 + -3k + (-8 + -10k) = 0 Reorder the terms: 1 + -8 + -3k + -10k = 0 Combine like terms: 1 + -8 = -7 -7 + -3k + -10k = 0 Combine like terms: -3k + -10k = -13k -7 + -13k = 0 Solving -7 + -13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -13k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -13k = 0 + 7 -13k = 0 + 7 Combine like terms: 0 + 7 = 7 -13k = 7 Divide each side by '-13'. k = -0.5384615385 Simplifying k = -0.5384615385
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