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Simplifying 7(c + -9) = 6(c + -5) Reorder the terms: 7(-9 + c) = 6(c + -5) (-9 * 7 + c * 7) = 6(c + -5) (-63 + 7c) = 6(c + -5) Reorder the terms: -63 + 7c = 6(-5 + c) -63 + 7c = (-5 * 6 + c * 6) -63 + 7c = (-30 + 6c) Solving -63 + 7c = -30 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -63 + 7c + -6c = -30 + 6c + -6c Combine like terms: 7c + -6c = 1c -63 + 1c = -30 + 6c + -6c Combine like terms: 6c + -6c = 0 -63 + 1c = -30 + 0 -63 + 1c = -30 Add '63' to each side of the equation. -63 + 63 + 1c = -30 + 63 Combine like terms: -63 + 63 = 0 0 + 1c = -30 + 63 1c = -30 + 63 Combine like terms: -30 + 63 = 33 1c = 33 Divide each side by '1'. c = 33 Simplifying c = 33
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