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Simplifying 6(c + -3) = 7(c + -5) Reorder the terms: 6(-3 + c) = 7(c + -5) (-3 * 6 + c * 6) = 7(c + -5) (-18 + 6c) = 7(c + -5) Reorder the terms: -18 + 6c = 7(-5 + c) -18 + 6c = (-5 * 7 + c * 7) -18 + 6c = (-35 + 7c) Solving -18 + 6c = -35 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -18 + 6c + -7c = -35 + 7c + -7c Combine like terms: 6c + -7c = -1c -18 + -1c = -35 + 7c + -7c Combine like terms: 7c + -7c = 0 -18 + -1c = -35 + 0 -18 + -1c = -35 Add '18' to each side of the equation. -18 + 18 + -1c = -35 + 18 Combine like terms: -18 + 18 = 0 0 + -1c = -35 + 18 -1c = -35 + 18 Combine like terms: -35 + 18 = -17 -1c = -17 Divide each side by '-1'. c = 17 Simplifying c = 17
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