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Simplifying 10(c + -3) + 8 = 6 + c + -29 Reorder the terms: 10(-3 + c) + 8 = 6 + c + -29 (-3 * 10 + c * 10) + 8 = 6 + c + -29 (-30 + 10c) + 8 = 6 + c + -29 Reorder the terms: -30 + 8 + 10c = 6 + c + -29 Combine like terms: -30 + 8 = -22 -22 + 10c = 6 + c + -29 Reorder the terms: -22 + 10c = 6 + -29 + c Combine like terms: 6 + -29 = -23 -22 + 10c = -23 + c Solving -22 + 10c = -23 + 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. -22 + 10c + -1c = -23 + c + -1c Combine like terms: 10c + -1c = 9c -22 + 9c = -23 + c + -1c Combine like terms: c + -1c = 0 -22 + 9c = -23 + 0 -22 + 9c = -23 Add '22' to each side of the equation. -22 + 22 + 9c = -23 + 22 Combine like terms: -22 + 22 = 0 0 + 9c = -23 + 22 9c = -23 + 22 Combine like terms: -23 + 22 = -1 9c = -1 Divide each side by '9'. c = -0.1111111111 Simplifying c = -0.1111111111
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