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Simplifying 5(2c + 8) + -6x = 16 Reorder the terms: 5(8 + 2c) + -6x = 16 (8 * 5 + 2c * 5) + -6x = 16 (40 + 10c) + -6x = 16 Solving 40 + 10c + -6x = 16 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 10c + -40 + -6x = 16 + -40 Reorder the terms: 40 + -40 + 10c + -6x = 16 + -40 Combine like terms: 40 + -40 = 0 0 + 10c + -6x = 16 + -40 10c + -6x = 16 + -40 Combine like terms: 16 + -40 = -24 10c + -6x = -24 Add '6x' to each side of the equation. 10c + -6x + 6x = -24 + 6x Combine like terms: -6x + 6x = 0 10c + 0 = -24 + 6x 10c = -24 + 6x Divide each side by '10'. c = -2.4 + 0.6x Simplifying c = -2.4 + 0.6x
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