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Simplifying 7(-8k + 1) + 8(k + -5) = 63 Reorder the terms: 7(1 + -8k) + 8(k + -5) = 63 (1 * 7 + -8k * 7) + 8(k + -5) = 63 (7 + -56k) + 8(k + -5) = 63 Reorder the terms: 7 + -56k + 8(-5 + k) = 63 7 + -56k + (-5 * 8 + k * 8) = 63 7 + -56k + (-40 + 8k) = 63 Reorder the terms: 7 + -40 + -56k + 8k = 63 Combine like terms: 7 + -40 = -33 -33 + -56k + 8k = 63 Combine like terms: -56k + 8k = -48k -33 + -48k = 63 Solving -33 + -48k = 63 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -48k = 63 + 33 Combine like terms: -33 + 33 = 0 0 + -48k = 63 + 33 -48k = 63 + 33 Combine like terms: 63 + 33 = 96 -48k = 96 Divide each side by '-48'. k = -2 Simplifying k = -2
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