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Simplifying 2(-4c + 5) + -3(c + 4) + 10(c + -5) = 0 Reorder the terms: 2(5 + -4c) + -3(c + 4) + 10(c + -5) = 0 (5 * 2 + -4c * 2) + -3(c + 4) + 10(c + -5) = 0 (10 + -8c) + -3(c + 4) + 10(c + -5) = 0 Reorder the terms: 10 + -8c + -3(4 + c) + 10(c + -5) = 0 10 + -8c + (4 * -3 + c * -3) + 10(c + -5) = 0 10 + -8c + (-12 + -3c) + 10(c + -5) = 0 Reorder the terms: 10 + -8c + -12 + -3c + 10(-5 + c) = 0 10 + -8c + -12 + -3c + (-5 * 10 + c * 10) = 0 10 + -8c + -12 + -3c + (-50 + 10c) = 0 Reorder the terms: 10 + -12 + -50 + -8c + -3c + 10c = 0 Combine like terms: 10 + -12 = -2 -2 + -50 + -8c + -3c + 10c = 0 Combine like terms: -2 + -50 = -52 -52 + -8c + -3c + 10c = 0 Combine like terms: -8c + -3c = -11c -52 + -11c + 10c = 0 Combine like terms: -11c + 10c = -1c -52 + -1c = 0 Solving -52 + -1c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -1c = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -1c = 0 + 52 -1c = 0 + 52 Combine like terms: 0 + 52 = 52 -1c = 52 Divide each side by '-1'. c = -52 Simplifying c = -52
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