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Simplifying 4(5c + -1) + -3 = 15c + 18 Reorder the terms: 4(-1 + 5c) + -3 = 15c + 18 (-1 * 4 + 5c * 4) + -3 = 15c + 18 (-4 + 20c) + -3 = 15c + 18 Reorder the terms: -4 + -3 + 20c = 15c + 18 Combine like terms: -4 + -3 = -7 -7 + 20c = 15c + 18 Reorder the terms: -7 + 20c = 18 + 15c Solving -7 + 20c = 18 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. -7 + 20c + -15c = 18 + 15c + -15c Combine like terms: 20c + -15c = 5c -7 + 5c = 18 + 15c + -15c Combine like terms: 15c + -15c = 0 -7 + 5c = 18 + 0 -7 + 5c = 18 Add '7' to each side of the equation. -7 + 7 + 5c = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 5c = 18 + 7 5c = 18 + 7 Combine like terms: 18 + 7 = 25 5c = 25 Divide each side by '5'. c = 5 Simplifying c = 5
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