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Simplifying 20 + 5 + 19c = -6(-5c + 19) + -15 Combine like terms: 20 + 5 = 25 25 + 19c = -6(-5c + 19) + -15 Reorder the terms: 25 + 19c = -6(19 + -5c) + -15 25 + 19c = (19 * -6 + -5c * -6) + -15 25 + 19c = (-114 + 30c) + -15 Reorder the terms: 25 + 19c = -114 + -15 + 30c Combine like terms: -114 + -15 = -129 25 + 19c = -129 + 30c Solving 25 + 19c = -129 + 30c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-30c' to each side of the equation. 25 + 19c + -30c = -129 + 30c + -30c Combine like terms: 19c + -30c = -11c 25 + -11c = -129 + 30c + -30c Combine like terms: 30c + -30c = 0 25 + -11c = -129 + 0 25 + -11c = -129 Add '-25' to each side of the equation. 25 + -25 + -11c = -129 + -25 Combine like terms: 25 + -25 = 0 0 + -11c = -129 + -25 -11c = -129 + -25 Combine like terms: -129 + -25 = -154 -11c = -154 Divide each side by '-11'. c = 14 Simplifying c = 14
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