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Simplifying 4(3c + -3) + -6 = 10c + 8 Reorder the terms: 4(-3 + 3c) + -6 = 10c + 8 (-3 * 4 + 3c * 4) + -6 = 10c + 8 (-12 + 12c) + -6 = 10c + 8 Reorder the terms: -12 + -6 + 12c = 10c + 8 Combine like terms: -12 + -6 = -18 -18 + 12c = 10c + 8 Reorder the terms: -18 + 12c = 8 + 10c Solving -18 + 12c = 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. -18 + 12c + -10c = 8 + 10c + -10c Combine like terms: 12c + -10c = 2c -18 + 2c = 8 + 10c + -10c Combine like terms: 10c + -10c = 0 -18 + 2c = 8 + 0 -18 + 2c = 8 Add '18' to each side of the equation. -18 + 18 + 2c = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 2c = 8 + 18 2c = 8 + 18 Combine like terms: 8 + 18 = 26 2c = 26 Divide each side by '2'. c = 13 Simplifying c = 13
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