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Simplifying 6(2c + 8) + -4c + -30 = 9(c + -3) + -4c + -3 Reorder the terms: 6(8 + 2c) + -4c + -30 = 9(c + -3) + -4c + -3 (8 * 6 + 2c * 6) + -4c + -30 = 9(c + -3) + -4c + -3 (48 + 12c) + -4c + -30 = 9(c + -3) + -4c + -3 Reorder the terms: 48 + -30 + 12c + -4c = 9(c + -3) + -4c + -3 Combine like terms: 48 + -30 = 18 18 + 12c + -4c = 9(c + -3) + -4c + -3 Combine like terms: 12c + -4c = 8c 18 + 8c = 9(c + -3) + -4c + -3 Reorder the terms: 18 + 8c = 9(-3 + c) + -4c + -3 18 + 8c = (-3 * 9 + c * 9) + -4c + -3 18 + 8c = (-27 + 9c) + -4c + -3 Reorder the terms: 18 + 8c = -27 + -3 + 9c + -4c Combine like terms: -27 + -3 = -30 18 + 8c = -30 + 9c + -4c Combine like terms: 9c + -4c = 5c 18 + 8c = -30 + 5c Solving 18 + 8c = -30 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 18 + 8c + -5c = -30 + 5c + -5c Combine like terms: 8c + -5c = 3c 18 + 3c = -30 + 5c + -5c Combine like terms: 5c + -5c = 0 18 + 3c = -30 + 0 18 + 3c = -30 Add '-18' to each side of the equation. 18 + -18 + 3c = -30 + -18 Combine like terms: 18 + -18 = 0 0 + 3c = -30 + -18 3c = -30 + -18 Combine like terms: -30 + -18 = -48 3c = -48 Divide each side by '3'. c = -16 Simplifying c = -16
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