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Simplifying -1(c + 7) + 2(c + -4) = 0 Reorder the terms: -1(7 + c) + 2(c + -4) = 0 (7 * -1 + c * -1) + 2(c + -4) = 0 (-7 + -1c) + 2(c + -4) = 0 Reorder the terms: -7 + -1c + 2(-4 + c) = 0 -7 + -1c + (-4 * 2 + c * 2) = 0 -7 + -1c + (-8 + 2c) = 0 Reorder the terms: -7 + -8 + -1c + 2c = 0 Combine like terms: -7 + -8 = -15 -15 + -1c + 2c = 0 Combine like terms: -1c + 2c = 1c -15 + 1c = 0 Solving -15 + 1c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1c = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1c = 0 + 15 1c = 0 + 15 Combine like terms: 0 + 15 = 15 1c = 15 Divide each side by '1'. c = 15 Simplifying c = 15
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