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Simplifying 5(c + -2) = 6(c + -3) Reorder the terms: 5(-2 + c) = 6(c + -3) (-2 * 5 + c * 5) = 6(c + -3) (-10 + 5c) = 6(c + -3) Reorder the terms: -10 + 5c = 6(-3 + c) -10 + 5c = (-3 * 6 + c * 6) -10 + 5c = (-18 + 6c) Solving -10 + 5c = -18 + 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. -10 + 5c + -6c = -18 + 6c + -6c Combine like terms: 5c + -6c = -1c -10 + -1c = -18 + 6c + -6c Combine like terms: 6c + -6c = 0 -10 + -1c = -18 + 0 -10 + -1c = -18 Add '10' to each side of the equation. -10 + 10 + -1c = -18 + 10 Combine like terms: -10 + 10 = 0 0 + -1c = -18 + 10 -1c = -18 + 10 Combine like terms: -18 + 10 = -8 -1c = -8 Divide each side by '-1'. c = 8 Simplifying c = 8
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