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Simplifying 4(c + -5) + -2(3c + 5) = 6 Reorder the terms: 4(-5 + c) + -2(3c + 5) = 6 (-5 * 4 + c * 4) + -2(3c + 5) = 6 (-20 + 4c) + -2(3c + 5) = 6 Reorder the terms: -20 + 4c + -2(5 + 3c) = 6 -20 + 4c + (5 * -2 + 3c * -2) = 6 -20 + 4c + (-10 + -6c) = 6 Reorder the terms: -20 + -10 + 4c + -6c = 6 Combine like terms: -20 + -10 = -30 -30 + 4c + -6c = 6 Combine like terms: 4c + -6c = -2c -30 + -2c = 6 Solving -30 + -2c = 6 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -2c = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -2c = 6 + 30 -2c = 6 + 30 Combine like terms: 6 + 30 = 36 -2c = 36 Divide each side by '-2'. c = -18 Simplifying c = -18
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