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Simplifying 8(c + -5) + 4 = 2 + c + -38 Reorder the terms: 8(-5 + c) + 4 = 2 + c + -38 (-5 * 8 + c * 8) + 4 = 2 + c + -38 (-40 + 8c) + 4 = 2 + c + -38 Reorder the terms: -40 + 4 + 8c = 2 + c + -38 Combine like terms: -40 + 4 = -36 -36 + 8c = 2 + c + -38 Reorder the terms: -36 + 8c = 2 + -38 + c Combine like terms: 2 + -38 = -36 -36 + 8c = -36 + c Add '36' to each side of the equation. -36 + 36 + 8c = -36 + 36 + c Combine like terms: -36 + 36 = 0 0 + 8c = -36 + 36 + c 8c = -36 + 36 + c Combine like terms: -36 + 36 = 0 8c = 0 + c 8c = c Solving 8c = 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. 8c + -1c = c + -1c Combine like terms: 8c + -1c = 7c 7c = c + -1c Combine like terms: c + -1c = 0 7c = 0 Divide each side by '7'. c = 0 Simplifying c = 0
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