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Simplifying 6(c + -14) + 2(c + -3) = 14 Reorder the terms: 6(-14 + c) + 2(c + -3) = 14 (-14 * 6 + c * 6) + 2(c + -3) = 14 (-84 + 6c) + 2(c + -3) = 14 Reorder the terms: -84 + 6c + 2(-3 + c) = 14 -84 + 6c + (-3 * 2 + c * 2) = 14 -84 + 6c + (-6 + 2c) = 14 Reorder the terms: -84 + -6 + 6c + 2c = 14 Combine like terms: -84 + -6 = -90 -90 + 6c + 2c = 14 Combine like terms: 6c + 2c = 8c -90 + 8c = 14 Solving -90 + 8c = 14 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 8c = 14 + 90 Combine like terms: -90 + 90 = 0 0 + 8c = 14 + 90 8c = 14 + 90 Combine like terms: 14 + 90 = 104 8c = 104 Divide each side by '8'. c = 13 Simplifying c = 13
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