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Simplifying -10(7 + k) + 7(1 + -10k) = -63 (7 * -10 + k * -10) + 7(1 + -10k) = -63 (-70 + -10k) + 7(1 + -10k) = -63 -70 + -10k + (1 * 7 + -10k * 7) = -63 -70 + -10k + (7 + -70k) = -63 Reorder the terms: -70 + 7 + -10k + -70k = -63 Combine like terms: -70 + 7 = -63 -63 + -10k + -70k = -63 Combine like terms: -10k + -70k = -80k -63 + -80k = -63 Add '63' to each side of the equation. -63 + 63 + -80k = -63 + 63 Combine like terms: -63 + 63 = 0 0 + -80k = -63 + 63 -80k = -63 + 63 Combine like terms: -63 + 63 = 0 -80k = 0 Solving -80k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '-80'. k = 0.0 Simplifying k = 0.0
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