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Simplifying 3(2c + -4) + -7 = 2c + 9 Reorder the terms: 3(-4 + 2c) + -7 = 2c + 9 (-4 * 3 + 2c * 3) + -7 = 2c + 9 (-12 + 6c) + -7 = 2c + 9 Reorder the terms: -12 + -7 + 6c = 2c + 9 Combine like terms: -12 + -7 = -19 -19 + 6c = 2c + 9 Reorder the terms: -19 + 6c = 9 + 2c Solving -19 + 6c = 9 + 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. -19 + 6c + -2c = 9 + 2c + -2c Combine like terms: 6c + -2c = 4c -19 + 4c = 9 + 2c + -2c Combine like terms: 2c + -2c = 0 -19 + 4c = 9 + 0 -19 + 4c = 9 Add '19' to each side of the equation. -19 + 19 + 4c = 9 + 19 Combine like terms: -19 + 19 = 0 0 + 4c = 9 + 19 4c = 9 + 19 Combine like terms: 9 + 19 = 28 4c = 28 Divide each side by '4'. c = 7 Simplifying c = 7
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