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Simplifying 5(2c + 6) + -10(2c + 24) = 48 Reorder the terms: 5(6 + 2c) + -10(2c + 24) = 48 (6 * 5 + 2c * 5) + -10(2c + 24) = 48 (30 + 10c) + -10(2c + 24) = 48 Reorder the terms: 30 + 10c + -10(24 + 2c) = 48 30 + 10c + (24 * -10 + 2c * -10) = 48 30 + 10c + (-240 + -20c) = 48 Reorder the terms: 30 + -240 + 10c + -20c = 48 Combine like terms: 30 + -240 = -210 -210 + 10c + -20c = 48 Combine like terms: 10c + -20c = -10c -210 + -10c = 48 Solving -210 + -10c = 48 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '210' to each side of the equation. -210 + 210 + -10c = 48 + 210 Combine like terms: -210 + 210 = 0 0 + -10c = 48 + 210 -10c = 48 + 210 Combine like terms: 48 + 210 = 258 -10c = 258 Divide each side by '-10'. c = -25.8 Simplifying c = -25.8
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