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Simplifying 7(c + -2) + -6c = 2(c + -10) + 10 Reorder the terms: 7(-2 + c) + -6c = 2(c + -10) + 10 (-2 * 7 + c * 7) + -6c = 2(c + -10) + 10 (-14 + 7c) + -6c = 2(c + -10) + 10 Combine like terms: 7c + -6c = 1c -14 + 1c = 2(c + -10) + 10 Reorder the terms: -14 + 1c = 2(-10 + c) + 10 -14 + 1c = (-10 * 2 + c * 2) + 10 -14 + 1c = (-20 + 2c) + 10 Reorder the terms: -14 + 1c = -20 + 10 + 2c Combine like terms: -20 + 10 = -10 -14 + 1c = -10 + 2c Solving -14 + 1c = -10 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -14 + 1c + -2c = -10 + 2c + -2c Combine like terms: 1c + -2c = -1c -14 + -1c = -10 + 2c + -2c Combine like terms: 2c + -2c = 0 -14 + -1c = -10 + 0 -14 + -1c = -10 Add '14' to each side of the equation. -14 + 14 + -1c = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -1c = -10 + 14 -1c = -10 + 14 Combine like terms: -10 + 14 = 4 -1c = 4 Divide each side by '-1'. c = -4 Simplifying c = -4
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