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Simplifying 7(4c + -5) + -4(6c + 5) = -91 Reorder the terms: 7(-5 + 4c) + -4(6c + 5) = -91 (-5 * 7 + 4c * 7) + -4(6c + 5) = -91 (-35 + 28c) + -4(6c + 5) = -91 Reorder the terms: -35 + 28c + -4(5 + 6c) = -91 -35 + 28c + (5 * -4 + 6c * -4) = -91 -35 + 28c + (-20 + -24c) = -91 Reorder the terms: -35 + -20 + 28c + -24c = -91 Combine like terms: -35 + -20 = -55 -55 + 28c + -24c = -91 Combine like terms: 28c + -24c = 4c -55 + 4c = -91 Solving -55 + 4c = -91 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 4c = -91 + 55 Combine like terms: -55 + 55 = 0 0 + 4c = -91 + 55 4c = -91 + 55 Combine like terms: -91 + 55 = -36 4c = -36 Divide each side by '4'. c = -9 Simplifying c = -9
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