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Simplifying 2(3c + -3) + -4(3) + 2(5c + -7) = 0 Reorder the terms: 2(-3 + 3c) + -4(3) + 2(5c + -7) = 0 (-3 * 2 + 3c * 2) + -4(3) + 2(5c + -7) = 0 (-6 + 6c) + -4(3) + 2(5c + -7) = 0 Multiply -4 * 3 -6 + 6c + -12 + 2(5c + -7) = 0 Reorder the terms: -6 + 6c + -12 + 2(-7 + 5c) = 0 -6 + 6c + -12 + (-7 * 2 + 5c * 2) = 0 -6 + 6c + -12 + (-14 + 10c) = 0 Reorder the terms: -6 + -12 + -14 + 6c + 10c = 0 Combine like terms: -6 + -12 = -18 -18 + -14 + 6c + 10c = 0 Combine like terms: -18 + -14 = -32 -32 + 6c + 10c = 0 Combine like terms: 6c + 10c = 16c -32 + 16c = 0 Solving -32 + 16c = 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 + 16c = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 16c = 0 + 32 16c = 0 + 32 Combine like terms: 0 + 32 = 32 16c = 32 Divide each side by '16'. c = 2 Simplifying c = 2
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