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Simplifying -19 + 4k = -7(-2k + 7) Reorder the terms: -19 + 4k = -7(7 + -2k) -19 + 4k = (7 * -7 + -2k * -7) -19 + 4k = (-49 + 14k) Solving -19 + 4k = -49 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -19 + 4k + -14k = -49 + 14k + -14k Combine like terms: 4k + -14k = -10k -19 + -10k = -49 + 14k + -14k Combine like terms: 14k + -14k = 0 -19 + -10k = -49 + 0 -19 + -10k = -49 Add '19' to each side of the equation. -19 + 19 + -10k = -49 + 19 Combine like terms: -19 + 19 = 0 0 + -10k = -49 + 19 -10k = -49 + 19 Combine like terms: -49 + 19 = -30 -10k = -30 Divide each side by '-10'. k = 3 Simplifying k = 3
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