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Simplifying 6(c + -2) + -1(8c + 1) = 0 Reorder the terms: 6(-2 + c) + -1(8c + 1) = 0 (-2 * 6 + c * 6) + -1(8c + 1) = 0 (-12 + 6c) + -1(8c + 1) = 0 Reorder the terms: -12 + 6c + -1(1 + 8c) = 0 -12 + 6c + (1 * -1 + 8c * -1) = 0 -12 + 6c + (-1 + -8c) = 0 Reorder the terms: -12 + -1 + 6c + -8c = 0 Combine like terms: -12 + -1 = -13 -13 + 6c + -8c = 0 Combine like terms: 6c + -8c = -2c -13 + -2c = 0 Solving -13 + -2c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2c = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2c = 0 + 13 -2c = 0 + 13 Combine like terms: 0 + 13 = 13 -2c = 13 Divide each side by '-2'. c = -6.5 Simplifying c = -6.5
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