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Simplifying 3(4c + -10) + 2(c + -1) = 0 Reorder the terms: 3(-10 + 4c) + 2(c + -1) = 0 (-10 * 3 + 4c * 3) + 2(c + -1) = 0 (-30 + 12c) + 2(c + -1) = 0 Reorder the terms: -30 + 12c + 2(-1 + c) = 0 -30 + 12c + (-1 * 2 + c * 2) = 0 -30 + 12c + (-2 + 2c) = 0 Reorder the terms: -30 + -2 + 12c + 2c = 0 Combine like terms: -30 + -2 = -32 -32 + 12c + 2c = 0 Combine like terms: 12c + 2c = 14c -32 + 14c = 0 Solving -32 + 14c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 14c = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 14c = 0 + 32 14c = 0 + 32 Combine like terms: 0 + 32 = 32 14c = 32 Divide each side by '14'. c = 2.285714286 Simplifying c = 2.285714286
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