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Simplifying 10(c + -4) + 6 = 4 + c + -38 Reorder the terms: 10(-4 + c) + 6 = 4 + c + -38 (-4 * 10 + c * 10) + 6 = 4 + c + -38 (-40 + 10c) + 6 = 4 + c + -38 Reorder the terms: -40 + 6 + 10c = 4 + c + -38 Combine like terms: -40 + 6 = -34 -34 + 10c = 4 + c + -38 Reorder the terms: -34 + 10c = 4 + -38 + c Combine like terms: 4 + -38 = -34 -34 + 10c = -34 + c Add '34' to each side of the equation. -34 + 34 + 10c = -34 + 34 + c Combine like terms: -34 + 34 = 0 0 + 10c = -34 + 34 + c 10c = -34 + 34 + c Combine like terms: -34 + 34 = 0 10c = 0 + c 10c = c Solving 10c = c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 10c + -1c = c + -1c Combine like terms: 10c + -1c = 9c 9c = c + -1c Combine like terms: c + -1c = 0 9c = 0 Divide each side by '9'. c = 0 Simplifying c = 0
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