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Simplifying 15(5c + -1) + -10 = 93c + 19 Reorder the terms: 15(-1 + 5c) + -10 = 93c + 19 (-1 * 15 + 5c * 15) + -10 = 93c + 19 (-15 + 75c) + -10 = 93c + 19 Reorder the terms: -15 + -10 + 75c = 93c + 19 Combine like terms: -15 + -10 = -25 -25 + 75c = 93c + 19 Reorder the terms: -25 + 75c = 19 + 93c Solving -25 + 75c = 19 + 93c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-93c' to each side of the equation. -25 + 75c + -93c = 19 + 93c + -93c Combine like terms: 75c + -93c = -18c -25 + -18c = 19 + 93c + -93c Combine like terms: 93c + -93c = 0 -25 + -18c = 19 + 0 -25 + -18c = 19 Add '25' to each side of the equation. -25 + 25 + -18c = 19 + 25 Combine like terms: -25 + 25 = 0 0 + -18c = 19 + 25 -18c = 19 + 25 Combine like terms: 19 + 25 = 44 -18c = 44 Divide each side by '-18'. c = -2.444444444 Simplifying c = -2.444444444
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