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Simplifying 7(k + -7) * 2 = (11 + k) Reorder the terms: 7(-7 + k) * 2 = (11 + k) Reorder the terms for easier multiplication: 7 * 2(-7 + k) = (11 + k) Multiply 7 * 2 14(-7 + k) = (11 + k) (-7 * 14 + k * 14) = (11 + k) (-98 + 14k) = (11 + k) Remove parenthesis around (11 + k) -98 + 14k = 11 + k Solving -98 + 14k = 11 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -98 + 14k + -1k = 11 + k + -1k Combine like terms: 14k + -1k = 13k -98 + 13k = 11 + k + -1k Combine like terms: k + -1k = 0 -98 + 13k = 11 + 0 -98 + 13k = 11 Add '98' to each side of the equation. -98 + 98 + 13k = 11 + 98 Combine like terms: -98 + 98 = 0 0 + 13k = 11 + 98 13k = 11 + 98 Combine like terms: 11 + 98 = 109 13k = 109 Divide each side by '13'. k = 8.384615385 Simplifying k = 8.384615385
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