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Simplifying -18(10 + 3k) = 16(k + 15) (10 * -18 + 3k * -18) = 16(k + 15) (-180 + -54k) = 16(k + 15) Reorder the terms: -180 + -54k = 16(15 + k) -180 + -54k = (15 * 16 + k * 16) -180 + -54k = (240 + 16k) Solving -180 + -54k = 240 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -180 + -54k + -16k = 240 + 16k + -16k Combine like terms: -54k + -16k = -70k -180 + -70k = 240 + 16k + -16k Combine like terms: 16k + -16k = 0 -180 + -70k = 240 + 0 -180 + -70k = 240 Add '180' to each side of the equation. -180 + 180 + -70k = 240 + 180 Combine like terms: -180 + 180 = 0 0 + -70k = 240 + 180 -70k = 240 + 180 Combine like terms: 240 + 180 = 420 -70k = 420 Divide each side by '-70'. k = -6 Simplifying k = -6
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