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Simplifying 8(9c + -1) + -16 = 70c + 8 Reorder the terms: 8(-1 + 9c) + -16 = 70c + 8 (-1 * 8 + 9c * 8) + -16 = 70c + 8 (-8 + 72c) + -16 = 70c + 8 Reorder the terms: -8 + -16 + 72c = 70c + 8 Combine like terms: -8 + -16 = -24 -24 + 72c = 70c + 8 Reorder the terms: -24 + 72c = 8 + 70c Solving -24 + 72c = 8 + 70c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-70c' to each side of the equation. -24 + 72c + -70c = 8 + 70c + -70c Combine like terms: 72c + -70c = 2c -24 + 2c = 8 + 70c + -70c Combine like terms: 70c + -70c = 0 -24 + 2c = 8 + 0 -24 + 2c = 8 Add '24' to each side of the equation. -24 + 24 + 2c = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 2c = 8 + 24 2c = 8 + 24 Combine like terms: 8 + 24 = 32 2c = 32 Divide each side by '2'. c = 16 Simplifying c = 16
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