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Simplifying 7c + 2 + -4(2c + 1) = 33(c + -3) Reorder the terms: 7c + 2 + -4(1 + 2c) = 33(c + -3) 7c + 2 + (1 * -4 + 2c * -4) = 33(c + -3) 7c + 2 + (-4 + -8c) = 33(c + -3) Reorder the terms: 2 + -4 + 7c + -8c = 33(c + -3) Combine like terms: 2 + -4 = -2 -2 + 7c + -8c = 33(c + -3) Combine like terms: 7c + -8c = -1c -2 + -1c = 33(c + -3) Reorder the terms: -2 + -1c = 33(-3 + c) -2 + -1c = (-3 * 33 + c * 33) -2 + -1c = (-99 + 33c) Solving -2 + -1c = -99 + 33c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-33c' to each side of the equation. -2 + -1c + -33c = -99 + 33c + -33c Combine like terms: -1c + -33c = -34c -2 + -34c = -99 + 33c + -33c Combine like terms: 33c + -33c = 0 -2 + -34c = -99 + 0 -2 + -34c = -99 Add '2' to each side of the equation. -2 + 2 + -34c = -99 + 2 Combine like terms: -2 + 2 = 0 0 + -34c = -99 + 2 -34c = -99 + 2 Combine like terms: -99 + 2 = -97 -34c = -97 Divide each side by '-34'. c = 2.852941176 Simplifying c = 2.852941176
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