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Simplifying -6 + 2c = 3c + -1(6 + 4) Combine like terms: 6 + 4 = 10 -6 + 2c = 3c + -1(10) Multiply -1 * 10 -6 + 2c = 3c + -10 Reorder the terms: -6 + 2c = -10 + 3c Solving -6 + 2c = -10 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -6 + 2c + -3c = -10 + 3c + -3c Combine like terms: 2c + -3c = -1c -6 + -1c = -10 + 3c + -3c Combine like terms: 3c + -3c = 0 -6 + -1c = -10 + 0 -6 + -1c = -10 Add '6' to each side of the equation. -6 + 6 + -1c = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -1c = -10 + 6 -1c = -10 + 6 Combine like terms: -10 + 6 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4
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