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Simplifying 6 + -7(c + 1) = -3(2 + -1c) Reorder the terms: 6 + -7(1 + c) = -3(2 + -1c) 6 + (1 * -7 + c * -7) = -3(2 + -1c) 6 + (-7 + -7c) = -3(2 + -1c) Combine like terms: 6 + -7 = -1 -1 + -7c = -3(2 + -1c) -1 + -7c = (2 * -3 + -1c * -3) -1 + -7c = (-6 + 3c) Solving -1 + -7c = -6 + 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. -1 + -7c + -3c = -6 + 3c + -3c Combine like terms: -7c + -3c = -10c -1 + -10c = -6 + 3c + -3c Combine like terms: 3c + -3c = 0 -1 + -10c = -6 + 0 -1 + -10c = -6 Add '1' to each side of the equation. -1 + 1 + -10c = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -10c = -6 + 1 -10c = -6 + 1 Combine like terms: -6 + 1 = -5 -10c = -5 Divide each side by '-10'. c = 0.5 Simplifying c = 0.5
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