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Simplifying -178 = 2k + 6(5k + -3) Reorder the terms: -178 = 2k + 6(-3 + 5k) -178 = 2k + (-3 * 6 + 5k * 6) -178 = 2k + (-18 + 30k) Reorder the terms: -178 = -18 + 2k + 30k Combine like terms: 2k + 30k = 32k -178 = -18 + 32k Solving -178 = -18 + 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. -178 + -32k = -18 + 32k + -32k Combine like terms: 32k + -32k = 0 -178 + -32k = -18 + 0 -178 + -32k = -18 Add '178' to each side of the equation. -178 + 178 + -32k = -18 + 178 Combine like terms: -178 + 178 = 0 0 + -32k = -18 + 178 -32k = -18 + 178 Combine like terms: -18 + 178 = 160 -32k = 160 Divide each side by '-32'. k = -5 Simplifying k = -5
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