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Simplifying 5c + -2 = 2(3c + -4) Reorder the terms: -2 + 5c = 2(3c + -4) Reorder the terms: -2 + 5c = 2(-4 + 3c) -2 + 5c = (-4 * 2 + 3c * 2) -2 + 5c = (-8 + 6c) Solving -2 + 5c = -8 + 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. -2 + 5c + -6c = -8 + 6c + -6c Combine like terms: 5c + -6c = -1c -2 + -1c = -8 + 6c + -6c Combine like terms: 6c + -6c = 0 -2 + -1c = -8 + 0 -2 + -1c = -8 Add '2' to each side of the equation. -2 + 2 + -1c = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -1c = -8 + 2 -1c = -8 + 2 Combine like terms: -8 + 2 = -6 -1c = -6 Divide each side by '-1'. c = 6 Simplifying c = 6
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