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Simplifying 6(4c + -10) + 7(c + -1) = 0 Reorder the terms: 6(-10 + 4c) + 7(c + -1) = 0 (-10 * 6 + 4c * 6) + 7(c + -1) = 0 (-60 + 24c) + 7(c + -1) = 0 Reorder the terms: -60 + 24c + 7(-1 + c) = 0 -60 + 24c + (-1 * 7 + c * 7) = 0 -60 + 24c + (-7 + 7c) = 0 Reorder the terms: -60 + -7 + 24c + 7c = 0 Combine like terms: -60 + -7 = -67 -67 + 24c + 7c = 0 Combine like terms: 24c + 7c = 31c -67 + 31c = 0 Solving -67 + 31c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + 31c = 0 + 67 Combine like terms: -67 + 67 = 0 0 + 31c = 0 + 67 31c = 0 + 67 Combine like terms: 0 + 67 = 67 31c = 67 Divide each side by '31'. c = 2.161290323 Simplifying c = 2.161290323
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