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Simplifying 7(c + -2) = 8(c + -3) Reorder the terms: 7(-2 + c) = 8(c + -3) (-2 * 7 + c * 7) = 8(c + -3) (-14 + 7c) = 8(c + -3) Reorder the terms: -14 + 7c = 8(-3 + c) -14 + 7c = (-3 * 8 + c * 8) -14 + 7c = (-24 + 8c) Solving -14 + 7c = -24 + 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. -14 + 7c + -8c = -24 + 8c + -8c Combine like terms: 7c + -8c = -1c -14 + -1c = -24 + 8c + -8c Combine like terms: 8c + -8c = 0 -14 + -1c = -24 + 0 -14 + -1c = -24 Add '14' to each side of the equation. -14 + 14 + -1c = -24 + 14 Combine like terms: -14 + 14 = 0 0 + -1c = -24 + 14 -1c = -24 + 14 Combine like terms: -24 + 14 = -10 -1c = -10 Divide each side by '-1'. c = 10 Simplifying c = 10
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