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Simplifying -10(2k + -2) = 4(17k + -39) Reorder the terms: -10(-2 + 2k) = 4(17k + -39) (-2 * -10 + 2k * -10) = 4(17k + -39) (20 + -20k) = 4(17k + -39) Reorder the terms: 20 + -20k = 4(-39 + 17k) 20 + -20k = (-39 * 4 + 17k * 4) 20 + -20k = (-156 + 68k) Solving 20 + -20k = -156 + 68k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-68k' to each side of the equation. 20 + -20k + -68k = -156 + 68k + -68k Combine like terms: -20k + -68k = -88k 20 + -88k = -156 + 68k + -68k Combine like terms: 68k + -68k = 0 20 + -88k = -156 + 0 20 + -88k = -156 Add '-20' to each side of the equation. 20 + -20 + -88k = -156 + -20 Combine like terms: 20 + -20 = 0 0 + -88k = -156 + -20 -88k = -156 + -20 Combine like terms: -156 + -20 = -176 -88k = -176 Divide each side by '-88'. k = 2 Simplifying k = 2
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