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Simplifying 7c + 2 + -4(2c + 1) = -3(c + 3) Reorder the terms: 7c + 2 + -4(1 + 2c) = -3(c + 3) 7c + 2 + (1 * -4 + 2c * -4) = -3(c + 3) 7c + 2 + (-4 + -8c) = -3(c + 3) Reorder the terms: 2 + -4 + 7c + -8c = -3(c + 3) Combine like terms: 2 + -4 = -2 -2 + 7c + -8c = -3(c + 3) Combine like terms: 7c + -8c = -1c -2 + -1c = -3(c + 3) Reorder the terms: -2 + -1c = -3(3 + c) -2 + -1c = (3 * -3 + c * -3) -2 + -1c = (-9 + -3c) Solving -2 + -1c = -9 + -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. -2 + -1c + 3c = -9 + -3c + 3c Combine like terms: -1c + 3c = 2c -2 + 2c = -9 + -3c + 3c Combine like terms: -3c + 3c = 0 -2 + 2c = -9 + 0 -2 + 2c = -9 Add '2' to each side of the equation. -2 + 2 + 2c = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 2c = -9 + 2 2c = -9 + 2 Combine like terms: -9 + 2 = -7 2c = -7 Divide each side by '2'. c = -3.5 Simplifying c = -3.5
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