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Simplifying 6(c + -5) = 7(c + -7) Reorder the terms: 6(-5 + c) = 7(c + -7) (-5 * 6 + c * 6) = 7(c + -7) (-30 + 6c) = 7(c + -7) Reorder the terms: -30 + 6c = 7(-7 + c) -30 + 6c = (-7 * 7 + c * 7) -30 + 6c = (-49 + 7c) Solving -30 + 6c = -49 + 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. -30 + 6c + -7c = -49 + 7c + -7c Combine like terms: 6c + -7c = -1c -30 + -1c = -49 + 7c + -7c Combine like terms: 7c + -7c = 0 -30 + -1c = -49 + 0 -30 + -1c = -49 Add '30' to each side of the equation. -30 + 30 + -1c = -49 + 30 Combine like terms: -30 + 30 = 0 0 + -1c = -49 + 30 -1c = -49 + 30 Combine like terms: -49 + 30 = -19 -1c = -19 Divide each side by '-1'. c = 19 Simplifying c = 19
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