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Simplifying 7(c + -7) + 4c = -29(c + 5) Reorder the terms: 7(-7 + c) + 4c = -29(c + 5) (-7 * 7 + c * 7) + 4c = -29(c + 5) (-49 + 7c) + 4c = -29(c + 5) Combine like terms: 7c + 4c = 11c -49 + 11c = -29(c + 5) Reorder the terms: -49 + 11c = -29(5 + c) -49 + 11c = (5 * -29 + c * -29) -49 + 11c = (-145 + -29c) Solving -49 + 11c = -145 + -29c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '29c' to each side of the equation. -49 + 11c + 29c = -145 + -29c + 29c Combine like terms: 11c + 29c = 40c -49 + 40c = -145 + -29c + 29c Combine like terms: -29c + 29c = 0 -49 + 40c = -145 + 0 -49 + 40c = -145 Add '49' to each side of the equation. -49 + 49 + 40c = -145 + 49 Combine like terms: -49 + 49 = 0 0 + 40c = -145 + 49 40c = -145 + 49 Combine like terms: -145 + 49 = -96 40c = -96 Divide each side by '40'. c = -2.4 Simplifying c = -2.4
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