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Simplifying 4(c + -3) + -3(2c + 1) = 7c + 3 Reorder the terms: 4(-3 + c) + -3(2c + 1) = 7c + 3 (-3 * 4 + c * 4) + -3(2c + 1) = 7c + 3 (-12 + 4c) + -3(2c + 1) = 7c + 3 Reorder the terms: -12 + 4c + -3(1 + 2c) = 7c + 3 -12 + 4c + (1 * -3 + 2c * -3) = 7c + 3 -12 + 4c + (-3 + -6c) = 7c + 3 Reorder the terms: -12 + -3 + 4c + -6c = 7c + 3 Combine like terms: -12 + -3 = -15 -15 + 4c + -6c = 7c + 3 Combine like terms: 4c + -6c = -2c -15 + -2c = 7c + 3 Reorder the terms: -15 + -2c = 3 + 7c Solving -15 + -2c = 3 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -15 + -2c + -7c = 3 + 7c + -7c Combine like terms: -2c + -7c = -9c -15 + -9c = 3 + 7c + -7c Combine like terms: 7c + -7c = 0 -15 + -9c = 3 + 0 -15 + -9c = 3 Add '15' to each side of the equation. -15 + 15 + -9c = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -9c = 3 + 15 -9c = 3 + 15 Combine like terms: 3 + 15 = 18 -9c = 18 Divide each side by '-9'. c = -2 Simplifying c = -2
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