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Simplifying 11(c + -5) + 7 = 3 + c + -51 Reorder the terms: 11(-5 + c) + 7 = 3 + c + -51 (-5 * 11 + c * 11) + 7 = 3 + c + -51 (-55 + 11c) + 7 = 3 + c + -51 Reorder the terms: -55 + 7 + 11c = 3 + c + -51 Combine like terms: -55 + 7 = -48 -48 + 11c = 3 + c + -51 Reorder the terms: -48 + 11c = 3 + -51 + c Combine like terms: 3 + -51 = -48 -48 + 11c = -48 + c Add '48' to each side of the equation. -48 + 48 + 11c = -48 + 48 + c Combine like terms: -48 + 48 = 0 0 + 11c = -48 + 48 + c 11c = -48 + 48 + c Combine like terms: -48 + 48 = 0 11c = 0 + c 11c = c Solving 11c = c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 11c + -1c = c + -1c Combine like terms: 11c + -1c = 10c 10c = c + -1c Combine like terms: c + -1c = 0 10c = 0 Divide each side by '10'. c = 0.0 Simplifying c = 0.0
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