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Simplifying -35 + 7c = 2(4c + -3) Reorder the terms: -35 + 7c = 2(-3 + 4c) -35 + 7c = (-3 * 2 + 4c * 2) -35 + 7c = (-6 + 8c) Solving -35 + 7c = -6 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -35 + 7c + -8c = -6 + 8c + -8c Combine like terms: 7c + -8c = -1c -35 + -1c = -6 + 8c + -8c Combine like terms: 8c + -8c = 0 -35 + -1c = -6 + 0 -35 + -1c = -6 Add '35' to each side of the equation. -35 + 35 + -1c = -6 + 35 Combine like terms: -35 + 35 = 0 0 + -1c = -6 + 35 -1c = -6 + 35 Combine like terms: -6 + 35 = 29 -1c = 29 Divide each side by '-1'. c = -29 Simplifying c = -29
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