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Simplifying 10(c + -3) + 5 = 4 + c + -29 Reorder the terms: 10(-3 + c) + 5 = 4 + c + -29 (-3 * 10 + c * 10) + 5 = 4 + c + -29 (-30 + 10c) + 5 = 4 + c + -29 Reorder the terms: -30 + 5 + 10c = 4 + c + -29 Combine like terms: -30 + 5 = -25 -25 + 10c = 4 + c + -29 Reorder the terms: -25 + 10c = 4 + -29 + c Combine like terms: 4 + -29 = -25 -25 + 10c = -25 + c Add '25' to each side of the equation. -25 + 25 + 10c = -25 + 25 + c Combine like terms: -25 + 25 = 0 0 + 10c = -25 + 25 + c 10c = -25 + 25 + c Combine like terms: -25 + 25 = 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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