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Simplifying 3(2c + -7) + 4(3c + -2) = 61 Reorder the terms: 3(-7 + 2c) + 4(3c + -2) = 61 (-7 * 3 + 2c * 3) + 4(3c + -2) = 61 (-21 + 6c) + 4(3c + -2) = 61 Reorder the terms: -21 + 6c + 4(-2 + 3c) = 61 -21 + 6c + (-2 * 4 + 3c * 4) = 61 -21 + 6c + (-8 + 12c) = 61 Reorder the terms: -21 + -8 + 6c + 12c = 61 Combine like terms: -21 + -8 = -29 -29 + 6c + 12c = 61 Combine like terms: 6c + 12c = 18c -29 + 18c = 61 Solving -29 + 18c = 61 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 18c = 61 + 29 Combine like terms: -29 + 29 = 0 0 + 18c = 61 + 29 18c = 61 + 29 Combine like terms: 61 + 29 = 90 18c = 90 Divide each side by '18'. c = 5 Simplifying c = 5
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