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Simplifying 2(2c + 6) + 3(5x + -4) = 0 Reorder the terms: 2(6 + 2c) + 3(5x + -4) = 0 (6 * 2 + 2c * 2) + 3(5x + -4) = 0 (12 + 4c) + 3(5x + -4) = 0 Reorder the terms: 12 + 4c + 3(-4 + 5x) = 0 12 + 4c + (-4 * 3 + 5x * 3) = 0 12 + 4c + (-12 + 15x) = 0 Reorder the terms: 12 + -12 + 4c + 15x = 0 Combine like terms: 12 + -12 = 0 0 + 4c + 15x = 0 4c + 15x = 0 Solving 4c + 15x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15x' to each side of the equation. 4c + 15x + -15x = 0 + -15x Combine like terms: 15x + -15x = 0 4c + 0 = 0 + -15x 4c = 0 + -15x Remove the zero: 4c = -15x Divide each side by '4'. c = -3.75x Simplifying c = -3.75x
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