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Simplifying 2(k + 63) + 1 = -45 Reorder the terms: 2(63 + k) + 1 = -45 (63 * 2 + k * 2) + 1 = -45 (126 + 2k) + 1 = -45 Reorder the terms: 126 + 1 + 2k = -45 Combine like terms: 126 + 1 = 127 127 + 2k = -45 Solving 127 + 2k = -45 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-127' to each side of the equation. 127 + -127 + 2k = -45 + -127 Combine like terms: 127 + -127 = 0 0 + 2k = -45 + -127 2k = -45 + -127 Combine like terms: -45 + -127 = -172 2k = -172 Divide each side by '2'. k = -86 Simplifying k = -86
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