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Simplifying 3(c + -22) = 2(c + -6) Reorder the terms: 3(-22 + c) = 2(c + -6) (-22 * 3 + c * 3) = 2(c + -6) (-66 + 3c) = 2(c + -6) Reorder the terms: -66 + 3c = 2(-6 + c) -66 + 3c = (-6 * 2 + c * 2) -66 + 3c = (-12 + 2c) Solving -66 + 3c = -12 + 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. -66 + 3c + -2c = -12 + 2c + -2c Combine like terms: 3c + -2c = 1c -66 + 1c = -12 + 2c + -2c Combine like terms: 2c + -2c = 0 -66 + 1c = -12 + 0 -66 + 1c = -12 Add '66' to each side of the equation. -66 + 66 + 1c = -12 + 66 Combine like terms: -66 + 66 = 0 0 + 1c = -12 + 66 1c = -12 + 66 Combine like terms: -12 + 66 = 54 1c = 54 Divide each side by '1'. c = 54 Simplifying c = 54
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