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Simplifying 4(4c + -4) + -6 = 10c + 8 Reorder the terms: 4(-4 + 4c) + -6 = 10c + 8 (-4 * 4 + 4c * 4) + -6 = 10c + 8 (-16 + 16c) + -6 = 10c + 8 Reorder the terms: -16 + -6 + 16c = 10c + 8 Combine like terms: -16 + -6 = -22 -22 + 16c = 10c + 8 Reorder the terms: -22 + 16c = 8 + 10c Solving -22 + 16c = 8 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -22 + 16c + -10c = 8 + 10c + -10c Combine like terms: 16c + -10c = 6c -22 + 6c = 8 + 10c + -10c Combine like terms: 10c + -10c = 0 -22 + 6c = 8 + 0 -22 + 6c = 8 Add '22' to each side of the equation. -22 + 22 + 6c = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 6c = 8 + 22 6c = 8 + 22 Combine like terms: 8 + 22 = 30 6c = 30 Divide each side by '6'. c = 5 Simplifying c = 5
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