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Simplifying 9c + -10 = 2(c + -19) Reorder the terms: -10 + 9c = 2(c + -19) Reorder the terms: -10 + 9c = 2(-19 + c) -10 + 9c = (-19 * 2 + c * 2) -10 + 9c = (-38 + 2c) Solving -10 + 9c = -38 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -10 + 9c + -2c = -38 + 2c + -2c Combine like terms: 9c + -2c = 7c -10 + 7c = -38 + 2c + -2c Combine like terms: 2c + -2c = 0 -10 + 7c = -38 + 0 -10 + 7c = -38 Add '10' to each side of the equation. -10 + 10 + 7c = -38 + 10 Combine like terms: -10 + 10 = 0 0 + 7c = -38 + 10 7c = -38 + 10 Combine like terms: -38 + 10 = -28 7c = -28 Divide each side by '7'. c = -4 Simplifying c = -4
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